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232065363560232 = 23397241671961561
BaseRepresentation
bin110100110000111111101101…
…100011110100011100101000
31010102200020021012020120012210
4310300333231203310130220
5220404124331032411412
62141321204541405120
766611112021426456
oct6460775543643450
91112606235216183
10232065363560232
1167a41405886454
122203b9a48697a0
139c64892971647
1441440487b19d6
151bc68453b683c
hexd30fed8f4728

232065363560232 has 128 divisors (see below), whose sum is σ = 588673770854400. Its totient is φ = 76227393945600.

The previous prime is 232065363560167. The next prime is 232065363560237.

232065363560232 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (232065363560237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3769650732 + ... + 3769712292.

It is an arithmetic number, because the mean of its divisors is an integer number (4599013834800).

Almost surely, 2232065363560232 is an apocalyptic number.

It is an amenable number.

232065363560232 is an abundant number, since it is smaller than the sum of its proper divisors (356608407294168).

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

232065363560232 is a wasteful number, since it uses less digits than its factorization.

232065363560232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68627 (or 68623 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 48.

The spelling of 232065363560232 in words is "two hundred thirty-two trillion, sixty-five billion, three hundred sixty-three million, five hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 97 194 241 291 388 482 582 723 776 964 1164 1446 1928 2328 2892 5784 6719 13438 20157 23377 26876 40314 46754 53752 61561 70131 80628 93508 123122 140262 161256 184683 187016 246244 280524 369366 492488 561048 651743 738732 1303486 1477464 1619279 1955229 2606972 3238558 3910458 4857837 5213944 5971417 6477116 7820916 9715674 11942834 12954232 14836201 15641832 17914251 19431348 23885668 29672402 35828502 38862696 44508603 47771336 59344804 71657004 89017206 118689608 143314008 157070063 178034412 314140126 356068824 413628359 471210189 628280252 827256718 942420378 1240885077 1256560504 1439111497 1654513436 1884840756 2481770154 2878222994 3309026872 3769681512 4317334491 4963540308 5756445988 8634668982 9927080616 11512891976 17269337964 34538675928 40121950823 80243901646 99684434519 120365852469 160487803292 199368869038 240731704938 299053303557 320975606584 398737738076 481463409876 598106607114 797475476152 962926819752 1196213214228 2392426428456 9669390148343 19338780296686 29008170445029 38677560593372 58016340890058 77355121186744 116032681780116 232065363560232