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461004631103214 = 232112778405437609
BaseRepresentation
bin110100011010010000000000…
…1010001101101011011101110
32020110021121112101022110220100
41220310200001101231123232
5440411044441030300324
64312250334232331530
7166050325342354542
oct15064400121553356
92213247471273810
10461004631103214
11123987a6998a020
1243855952243ba6
1316a3071c982223
1481baa5949da22
153846bc5cd14c9
hex1a3480146d6ee

461004631103214 has 48 divisors (see below), whose sum is σ = 1093581054811440. Its totient is φ = 139194046788480.

The previous prime is 461004631103213. The next prime is 461004631103243. The reversal of 461004631103214 is 412301136400164.

461004631103214 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 0 + 4 + 631 + 1 + 0 + 3 + 2 + 14 = 666.

It is a super-2 number, since 2×4610046311032142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461004631103213) 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, 4202663959 + ... + 4202773650.

It is an arithmetic number, because the mean of its divisors is an integer number (22782938641905).

Almost surely, 2461004631103214 is an apocalyptic number.

461004631103214 is an abundant number, since it is smaller than the sum of its proper divisors (632576423708226).

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

461004631103214 is a wasteful number, since it uses less digits than its factorization.

461004631103214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405437905 (or 8405437902 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 461004631103214 its reverse (412301136400164), we get a palindrome (873305767503378).

The spelling of 461004631103214 in words is "four hundred sixty-one trillion, four billion, six hundred thirty-one million, one hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 277 554 831 1662 2493 3047 4986 6094 9141 18282 27423 54846 8405437609 16810875218 25216312827 50432625654 75648938481 92459813699 151297876962 184919627398 277379441097 554758882194 832138323291 1664276646582 2328306217693 4656612435386 6984918653079 13969837306158 20954755959237 25611368394623 41909511918474 51222736789246 76834105183869 153668210367738 230502315551607 461004631103214