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46232540172 = 2232721319106109
BaseRepresentation
bin101011000011101011…
…001001010000001100
311102100000200101022200
4223003223021100030
51224141012241142
633123335441500
73224454051600
oct530353112014
9142300611280
1046232540172
1118675077795
128b63226290
13448a389860
14234822d500
151308c5564c
hexac3ac940c

46232540172 has 216 divisors, whose sum is σ = 154109919600. Its totient is φ = 11551341312.

The previous prime is 46232540147. The next prime is 46232540203. The reversal of 46232540172 is 27104523264.

46232540172 is a `hidden beast` number, since 4 + 623 + 25 + 4 + 0 + 1 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382654 + ... + 488762.

It is an arithmetic number, because the mean of its divisors is an integer number (713471850).

Almost surely, 246232540172 is an apocalyptic number.

46232540172 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46232540172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77054959800).

46232540172 is an abundant number, since it is smaller than the sum of its proper divisors (107877379428).

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

46232540172 is a wasteful number, since it uses less digits than its factorization.

46232540172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106165 (or 106153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 46232540172 in words is "forty-six billion, two hundred thirty-two million, five hundred forty thousand, one hundred seventy-two".