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46261996032 = 29373277317
BaseRepresentation
bin101011000101011011…
…100000101000000000
311102102002002220011110
4223011123200220000
51224221032333112
633130311043320
73225262323000
oct530533405000
9142362086143
1046261996032
111868a76637a
128b71070540
134493500c65
14234c0da000
15130b62313c
hexac56e0a00

46261996032 has 320 divisors, whose sum is σ = 144699667200. Its totient is φ = 13128450048.

The previous prime is 46261996019. The next prime is 46261996061. The reversal of 46261996032 is 23069916264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145936738 + ... + 145937054.

It is an arithmetic number, because the mean of its divisors is an integer number (452186460).

Almost surely, 246261996032 is an apocalyptic number.

46261996032 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 46261996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72349833600).

46261996032 is an abundant number, since it is smaller than the sum of its proper divisors (98437671168).

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

46261996032 is an equidigital number, since it uses as much as digits as its factorization.

46261996032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 46261996032 in words is "forty-six billion, two hundred sixty-one million, nine hundred ninety-six thousand, thirty-two".