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90857327357592 = 233219550611206229
BaseRepresentation
bin10100101010001001011110…
…101110001110111010011000
3102220200212122100202112001100
4110222021132232032322120
543402101301300420332
6521123140250151400
725065140162003205
oct2452113656167230
9386625570675040
1090857327357592
1126a4a415714134
12a234913122560
133b90a69a98b73
14186173798acac
15a7861a94267c
hex52a25eb8ee98

90857327357592 has 96 divisors (see below), whose sum is σ = 259028001414000. Its totient is φ = 28691242709760.

The previous prime is 90857327357557. The next prime is 90857327357593. The reversal of 90857327357592 is 29575372375809.

90857327357592 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 7 + 3 + 27 + 3 + 5 + 7 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 90857327357592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90857327357593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74720334 + ... + 75926562.

Almost surely, 290857327357592 is an apocalyptic number.

It is an amenable number.

90857327357592 is an abundant number, since it is smaller than the sum of its proper divisors (168170674056408).

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

90857327357592 is a wasteful number, since it uses less digits than its factorization.

90857327357592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261321 (or 1261314 counting only the distinct ones).

The product of its (nonzero) digits is 1000188000, while the sum is 72.

The spelling of 90857327357592 in words is "ninety trillion, eight hundred fifty-seven billion, three hundred twenty-seven million, three hundred fifty-seven thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 55061 110122 165183 220244 330366 440488 495549 660732 991098 1046159 1206229 1321464 1982196 2092318 2412458 3138477 3618687 3964392 4184636 4824916 6276954 7237374 8369272 9415431 9649832 10856061 12553908 14474748 18830862 21712122 22918351 25107816 28949496 37661724 43424244 45836702 68755053 75323448 86848488 91673404 137510106 183346808 206265159 275020212 412530318 550040424 825060636 1650121272 66416174969 132832349938 199248524907 265664699876 398497049814 531329399752 597745574721 796994099628 1195491149442 1261907324411 1593988199256 2390982298884 2523814648822 3785721973233 4781964597768 5047629297644 7571443946466 10095258595288 11357165919699 15142887892932 22714331839398 30285775785864 45428663678796 90857327357592