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46996028928 = 2936374183
BaseRepresentation
bin101011110001001011…
…100111111000000000
311111022020022122000000
4223301023213320000
51232221440411203
633331212000000
73252414440412
oct536113477000
9144266278000
1046996028928
1118a27040132
129136a60000
13457c5c7b54
1423bb7b29b2
151350cb94a3
hexaf12e7e00

46996028928 has 560 divisors, whose sum is σ = 149902186896. Its totient is φ = 14691041280.

The previous prime is 46996028927. The next prime is 46996028939. The reversal of 46996028928 is 82982069964.

46996028928 is a `hidden beast` number, since 469 + 9 + 60 + 28 + 92 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46996028927) 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 55 ways as a sum of consecutive naturals, for example, 566217175 + ... + 566217257.

Almost surely, 246996028928 is an apocalyptic number.

46996028928 is a gapful number since it is divisible by the number (48) 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 46996028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74951093448).

46996028928 is an abundant number, since it is smaller than the sum of its proper divisors (102906157968).

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

46996028928 is an frugal number, since it uses more digits than its factorization.

46996028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 46996028928 in words is "forty-six billion, nine hundred ninety-six million, twenty-eight thousand, nine hundred twenty-eight".