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447422729074056 = 23341619688361961
BaseRepresentation
bin110010110111011011011100…
…0110101001011010110001000
32011200012012021021111001220000
41211232312320311023112020
5432121033222120332211
64223331055244003000
7163146140216061411
oct14556667065132610
92150165237431800
10447422729074056
1111a620a0630412a
1242221632830460
1316286a2297cbc8
147c6b538a44808
1536ad75a588656
hex196edb8d4b588

447422729074056 has 160 divisors (see below), whose sum is σ = 1254174403442400. Its totient is φ = 149024730735360.

The previous prime is 447422729074049. The next prime is 447422729074093. The reversal of 447422729074056 is 650470927224744.

It is a happy number.

447422729074056 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 227 + 290 + 74 + 0 + 56 = 666.

It is a super-2 number, since 2×4474227290740562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 447422729073984 and 447422729074002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7221006916 + ... + 7221068876.

It is an arithmetic number, because the mean of its divisors is an integer number (7838590021515).

Almost surely, 2447422729074056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447422729074056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627087201721200).

447422729074056 is an abundant number, since it is smaller than the sum of its proper divisors (806751674368344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

447422729074056 is a wasteful number, since it uses less digits than its factorization.

447422729074056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70481 (or 70468 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 447422729074056 in words is "four hundred forty-seven trillion, four hundred twenty-two billion, seven hundred twenty-nine million, seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1619 3238 4857 6476 6883 9714 12952 13766 14571 19428 20649 27532 29142 38856 41298 43713 55064 58284 61947 61961 82596 87426 116568 123894 123922 131139 165192 174852 185841 185883 247788 247844 262278 349704 371682 371766 495576 495688 524556 557523 557649 743364 743532 1049112 1115046 1115298 1486728 1487064 1672947 2230092 2230596 3345894 4460184 4461192 5018841 6691788 10037682 11143577 13383576 20075364 22287154 33430731 40150728 44574308 66861462 89148616 100292193 100314859 133722924 200584386 200629718 267445848 300876579 300944577 401168772 401259436 426477563 601753158 601889154 802337544 802518872 852955126 902629737 902833731 1203506316 1203778308 1279432689 1705910252 1805259474 1805667462 2407012632 2407556616 2558865378 2708501193 3411820504 3610518948 3611334924 3838298067 5117730756 5417002386 7221037896 7222669848 7676596134 8125503579 10235461512 10834004772 11514894201 15353192268 16251007158 21668009544 23029788402 30706384536 32502014316 34544682603 46059576804 65004028632 69089365206 92119153608 138178730412 276357460824 690467174497 1380934348994 2071401523491 2761868697988 4142803046982 5523737395976 6214204570473 8285606093964 12428409140946 16571212187928 18642613711419 24856818281892 37285227422838 49713636563784 55927841134257 74570454845676 111855682268514 149140909691352 223711364537028 447422729074056