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22063500671680 = 265138111653893
BaseRepresentation
bin1010000010001000011110…
…00111101011101011000000
32220010020202022000201010201
411001010033013223223000
510342442022132443210
6114531455434534544
74435015054232356
oct501041707535300
986106668021121
1022063500671680
117037094a31376
122584079897454
13c4076b618540
14563c444957d6
15283dc7aa753a
hex14110f1ebac0

22063500671680 has 112 divisors (see below), whose sum is σ = 56587212549504. Its totient is φ = 8145506488320.

The previous prime is 22063500671633. The next prime is 22063500671753. The reversal of 22063500671680 is 8617600536022.

It is a super-2 number, since 2×220635006716802 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22063500671680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33414814 + ... + 34068706.

It is an arithmetic number, because the mean of its divisors is an integer number (505242969192).

Almost surely, 222063500671680 is an apocalyptic number.

22063500671680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22063500671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28293606274752).

22063500671680 is an abundant number, since it is smaller than the sum of its proper divisors (34523711877824).

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

22063500671680 is a wasteful number, since it uses less digits than its factorization.

22063500671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662034 (or 662024 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 22063500671680 in words is "twenty-two trillion, sixty-three billion, five hundred million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 8111 16222 32444 40555 64888 81110 105443 129776 162220 210886 259552 324440 421772 519104 527215 648880 653893 843544 1054430 1297760 1307786 1687088 2108860 2595520 2615572 3269465 3374176 4217720 5231144 6538930 6748352 8435440 8500609 10462288 13077860 16870880 17001218 20924576 26155720 33741760 34002436 41849152 42503045 52311440 68004872 85006090 104622880 136009744 170012180 209245760 272019488 340024360 544038976 680048720 1360097440 2720194880 5303726123 10607452246 21214904492 26518630615 42429808984 53037261230 68948439599 84859617968 106074522460 137896879198 169719235936 212149044920 275793758396 339438471872 344742197995 424298089840 551587516792 689484395990 848596179680 1103175033584 1378968791980 1697192359360 2206350067168 2757937583960 4412700134336 5515875167920 11031750335840 22063500671680