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270402444204072 = 233195093291164253
BaseRepresentation
bin111101011110110111111001…
…101000100001100000101000
31022110102012222021000122000120
4331132313321220201200220
5240420233201204012242
62355033100141003240
7110645634433263135
oct7536677150414050
91273365867018016
10270402444204072
117918203a415534
12263b197b553520
13b7b5ac1ac8acb
144aab7960d758c
15213dbc4d371ec
hexf5edf9a21828

270402444204072 has 64 divisors (see below), whose sum is σ = 711587387784000. Its totient is φ = 85390004542464.

The previous prime is 270402444204031. The next prime is 270402444204107.

270402444204072 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2704024442040722 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231671898 + ... + 232836150.

It is an arithmetic number, because the mean of its divisors is an integer number (11118552934125).

Almost surely, 2270402444204072 is an apocalyptic number.

It is an amenable number.

270402444204072 is an abundant number, since it is smaller than the sum of its proper divisors (441184943579928).

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

270402444204072 is a wasteful number, since it uses less digits than its factorization.

270402444204072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673610 (or 1673606 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 42.

The spelling of 270402444204072 in words is "two hundred seventy trillion, four hundred two billion, four hundred forty-four million, two hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 509329 1018658 1164253 1527987 2037316 2328506 3055974 3492759 4074632 4657012 6111948 6985518 9314024 9677251 12223896 13971036 19354502 22120807 27942072 29031753 38709004 44241614 58063506 66362421 77418008 88483228 116127012 132724842 176966456 232254024 265449684 530899368 592987816237 1185975632474 1778963448711 2371951264948 3557926897422 4743902529896 7115853794844 11266768508503 14231707589688 22533537017006 33800305525509 45067074034012 67600611051018 90134148068024 135201222102036 270402444204072