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20412765707004 = 223211412991248151
BaseRepresentation
bin1001010010000101101111…
…01001100001101011111100
32200021102220201221222112200
410221002313221201223330
510133420321010111004
6111225254535431500
74204526235444366
oct451026751415374
980242821858480
1020412765707004
11656000709a010
122358169b25590
13b50bb95c0758
14507da99dbd36
15255eb2351239
hex1290b7a61afc

20412765707004 has 72 divisors (see below), whose sum is σ = 56291155939200. Its totient is φ = 6185531844000.

The previous prime is 20412765707003. The next prime is 20412765707023. The reversal of 20412765707004 is 40070756721402.

20412765707004 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 7 + 6 + 570 + 70 + 0 + 4 = 666.

It is a super-3 number, since 3×204127657070043 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412765707003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15730329 + ... + 16978479.

Almost surely, 220412765707004 is an apocalyptic number.

It is an amenable number.

20412765707004 is an abundant number, since it is smaller than the sum of its proper divisors (35878390232196).

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

20412765707004 is a wasteful number, since it uses less digits than its factorization.

20412765707004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289471 (or 1289466 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 20412765707004 in words is "twenty trillion, four hundred twelve billion, seven hundred sixty-five million, seven hundred seven thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 41299 82598 123897 165196 247794 371691 454289 495588 743382 908578 1248151 1362867 1486764 1817156 2496302 2725734 3744453 4088601 4992604 5451468 7488906 8177202 11233359 13729661 14977812 16354404 22466718 27459322 41188983 44933436 54918644 82377966 123566949 164755932 247133898 494267796 51547388149 103094776298 154642164447 206189552596 309284328894 463926493341 567021269639 618568657788 927852986682 1134042539278 1701063808917 1855705973364 2268085078556 3402127617834 5103191426751 6804255235668 10206382853502 20412765707004