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46491275160 = 2336511144941
BaseRepresentation
bin101011010011000110…
…001000111110011000
311110000001112111000000
4223103012020332120
51230203231301120
633205141213000
73234045214161
oct532306107630
9143001474000
1046491275160
1118798127160
129015a01160
1344cbb6a095
142370740768
151321812990
hexad3188f98

46491275160 has 224 divisors, whose sum is σ = 171095334480. Its totient is φ = 11270534400.

The previous prime is 46491275141. The next prime is 46491275177. The reversal of 46491275160 is 6157219464.

46491275160 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 127 + 516 + 0 = 666.

It is a super-2 number, since 2×464912751602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 248290 + ... + 393230.

Almost surely, 246491275160 is an apocalyptic number.

46491275160 is a gapful number since it is divisible by the number (40) 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 46491275160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85547667240).

46491275160 is an abundant number, since it is smaller than the sum of its proper divisors (124604059320).

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

46491275160 is a wasteful number, since it uses less digits than its factorization.

46491275160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144981 (or 144962 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 46491275160 in words is "forty-six billion, four hundred ninety-one million, two hundred seventy-five thousand, one hundred sixty".