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2004026024072 = 232324724632
BaseRepresentation
bin11101001010011001010…
…000100110000010001000
321002120202000112001201202
4131022121100212002020
5230313221130232242
64132345320403332
7264533430100412
oct35123120460210
97076660461652
102004026024072
117029a249a306
12284488316548
13116c95698137
146cdd14599b2
15371e1693932
hex1d299426088

2004026024072 has 108 divisors (see below), whose sum is σ = 4022063681895. Its totient is φ = 936028698528.

The previous prime is 2004026024047. The next prime is 2004026024093. The reversal of 2004026024072 is 2704206204002.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1002013012036 + 1002013012036 = 1001006^2 + 1001006^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1001006.

It is a super-2 number, since 2×20040260240722 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4328349713 + ... + 4328350175.

Almost surely, 22004026024072 is an apocalyptic number.

It is an amenable number.

2004026024072 is an abundant number, since it is smaller than the sum of its proper divisors (2018037657823).

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

2004026024072 is an frugal number, since it uses more digits than its factorization.

2004026024072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The spelling of 2004026024072 in words is "two trillion, four billion, twenty-six million, twenty-four thousand, seventy-two".

Divisors: 1 2 4 8 23 46 47 92 94 184 188 376 463 529 926 1058 1081 1852 2116 2162 2209 3704 4232 4324 4418 8648 8836 10649 17672 21298 21761 24863 42596 43522 49726 50807 85192 87044 99452 101614 174088 198904 203228 214369 244927 406456 428738 489854 500503 857476 979708 1001006 1022767 1168561 1714952 1959416 2002012 2045534 2337122 4004024 4091068 4674244 4930487 8182136 9348488 9860974 10075343 11511569 19721948 20150686 23023138 23523641 39443896 40301372 46046276 47047282 80602744 92092552 94094564 113401201 188189128 226802402 231732889 453604804 463465778 473541121 541043743 907209608 926931556 947082242 1082087486 1853863112 1894164484 2164174972 3788328968 4328349944 5329856447 10659712894 10891445783 21319425788 21782891566 42638851576 43565783132 87131566264 250503253009 501006506018 1002013012036 2004026024072