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461475135755368 = 23717974997348347
BaseRepresentation
bin110100011101101011000110…
…1100010100001010001101000
32020111221120222122211021101021
41220323112031202201101220
5440441302034223132433
64313250430052102224
7166126323030046360
oct15073261542412150
92214846878737337
10461475135755368
11124049562558089
1243910b81304974
1316a65bc315b647
1481d57312c19a0
15385406227222d
hex1a3b58d8a1468

461475135755368 has 64 divisors (see below), whose sum is σ = 1057838698304640. Its totient is φ = 184222249426944.

The previous prime is 461475135755363. The next prime is 461475135755411. The reversal of 461475135755368 is 863557531574164.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 461475135755297 and 461475135755306.

It is not an unprimeable number, because it can be changed into a prime (461475135755363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498581830 + ... + 2498766517.

It is an arithmetic number, because the mean of its divisors is an integer number (16528729661010).

Almost surely, 2461475135755368 is an apocalyptic number.

It is an amenable number.

461475135755368 is an abundant number, since it is smaller than the sum of its proper divisors (596363562549272).

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

461475135755368 is a wasteful number, since it uses less digits than its factorization.

461475135755368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997348474 (or 4997348470 counting only the distinct ones).

The product of its digits is 1270080000, while the sum is 70.

The spelling of 461475135755368 in words is "four hundred sixty-one trillion, four hundred seventy-five billion, one hundred thirty-five million, seven hundred fifty-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 97 119 136 194 238 388 476 679 776 952 1358 1649 2716 3298 5432 6596 11543 13192 23086 46172 92344 4997348347 9994696694 19989393388 34981438429 39978786776 69962876858 84954921899 139925753716 169909843798 279851507432 339819687596 484742789659 594684453293 679639375192 969485579318 1189368906586 1938971158636 2378737813172 3393199527613 3877942317272 4757475626344 6786399055226 8240627424203 13572798110452 16481254848406 27145596220904 32962509696812 57684391969421 65925019393624 115368783938842 230737567877684 461475135755368