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55601462016 = 28338044193
BaseRepresentation
bin110011110010000110…
…101111101100000000
312022111221221220222000
4303302012233230000
51402332433241031
641313140144000
74005566425542
oct636206575400
9168457856860
1055601462016
1121642637401
12a938998000
1353213b97a9
142996639692
1516a65073e6
hexcf21afb00

55601462016 has 72 divisors (see below), whose sum is σ = 164423325360. Its totient is φ = 18533818368.

The previous prime is 55601462011. The next prime is 55601462023. The reversal of 55601462016 is 61026410655.

55601462016 is a `hidden beast` number, since 5 + 5 + 6 + 0 + 14 + 620 + 16 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55601462011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4015185 + ... + 4029008.

Almost surely, 255601462016 is an apocalyptic number.

It is an amenable number.

55601462016 is an abundant number, since it is smaller than the sum of its proper divisors (108821863344).

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

55601462016 is an equidigital number, since it uses as much as digits as its factorization.

55601462016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044218 (or 8044198 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 55601462016 in words is "fifty-five billion, six hundred one million, four hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 8044193 16088386 24132579 32176772 48265158 64353544 72397737 96530316 128707088 144795474 193060632 217193211 257414176 289590948 386121264 434386422 514828352 579181896 772242528 868772844 1029656704 1158363792 1544485056 1737545688 2059313408 2316727584 3088970112 3475091376 4633455168 6177940224 6950182752 9266910336 13900365504 18533820672 27800731008 55601462016