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361431053856 = 253546480331
BaseRepresentation
bin1010100001001101111…
…10000011011000100000
31021112220202021220100000
411100212332003120200
521410202322210411
6434012241500000
735053412160615
oct5204676033040
91245822256300
10361431053856
1112a3114532a4
125a06a641600
132810cbbb112
14136c9aac50c
15960588c956
hex5426f83620

361431053856 has 72 divisors (see below), whose sum is σ = 1065886973424. Its totient is φ = 120477015360.

The previous prime is 361431053827. The next prime is 361431053861. The reversal of 361431053856 is 658350134163.

361431053856 is a `hidden beast` number, since 3 + 61 + 4 + 3 + 1 + 0 + 538 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23232390 + ... + 23247941.

It is an arithmetic number, because the mean of its divisors is an integer number (14803985742).

Almost surely, 2361431053856 is an apocalyptic number.

361431053856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361431053856 is an abundant number, since it is smaller than the sum of its proper divisors (704455919568).

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

361431053856 is an equidigital number, since it uses as much as digits as its factorization.

361431053856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46480356 (or 46480336 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 361431053856 in words is "three hundred sixty-one billion, four hundred thirty-one million, fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 46480331 92960662 139440993 185921324 278881986 371842648 418322979 557763972 743685296 836645958 1115527944 1254968937 1487370592 1673291916 2231055888 2509937874 3346583832 3764906811 4462111776 5019875748 6693167664 7529813622 10039751496 11294720433 13386335328 15059627244 20079502992 22589440866 30119254488 40159005984 45178881732 60238508976 90357763464 120477017952 180715526928 361431053856