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20041057772176 = 2472101215832
BaseRepresentation
bin1001000111010001011000…
…01000010010001010010000
32121221220110202220102210111
410203220230020102022100
510111323041242202201
6110342422420411104
74135630044231400
oct443505410221220
977856422812714
1020041057772176
116427401708a61
1222b8111846a94
13b24b2c55039c
144d3dc70d4800
1524b4a9661b51
hex123a2c212290

20041057772176 has 135 divisors (see below), whose sum is σ = 45649551461673. Its totient is φ = 8498612841600.

The previous prime is 20041057772173. The next prime is 20041057772179. The reversal of 20041057772176 is 67127775014002.

The square root of 20041057772176 is 4476724.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (20041057772173) and next prime (20041057772179).

It can be written as a sum of positive squares in only one way, i.e., 19255210981776 + 785846790400 = 4388076^2 + 886480^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20041057772171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12660174681 + ... + 12660176263.

Almost surely, 220041057772176 is an apocalyptic number.

20041057772176 is the 4476724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20041057772176

20041057772176 is an abundant number, since it is smaller than the sum of its proper divisors (25608493689497).

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

20041057772176 is an frugal number, since it uses more digits than its factorization.

20041057772176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 49.

Multiplying 20041057772176 by its sum of digits (49), we get a square (982011830836624 = 313370682).

20041057772176 divided by its sum of digits (49) gives a square (409001179024 = 6395322).

The spelling of 20041057772176 in words is "twenty trillion, forty-one billion, fifty-seven million, seven hundred seventy-two thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1583 1616 2828 3166 4949 5656 6332 9898 10201 11081 11312 12664 19796 20402 22162 25328 39592 40804 44324 71407 77567 79184 81608 88648 142814 155134 159883 163216 177296 285628 310268 319766 499849 571256 620536 639532 999698 1119181 1142512 1241072 1279064 1999396 2238362 2505889 2558128 3998792 4476724 5011778 7834267 7997584 8953448 10023556 15668534 16148183 17541223 17906896 20047112 31337068 32296366 35082446 40094224 62674136 64592732 70164892 113037281 122788561 125348272 129185464 140329784 226074562 245577122 253094789 258370928 280659568 452149124 491154244 506189578 791260967 904298248 982308488 1012379156 1582521934 1771663523 1808596496 1964616976 2024758312 3165043868 3543327046 4049516624 6330087736 7086654092 12401644661 12660175472 14173308184 24803289322 25562573689 28346616368 49606578644 51125147378 99213157288 102250294756 178938015823 198426314576 204500589512 357876031646 409001179024 715752063292 1252566110761 1431504126584 2505132221522 2863008253168 5010264443044 10020528886088 20041057772176