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46629025920 = 273355874597
BaseRepresentation
bin101011011011010011…
…100111100010000000
311110100122201221112000
4223123103213202000
51230444012312140
633230541504000
73240340115661
oct533323474200
9143318657460
1046629025920
1118858962364
129053b72000
13452156a6c9
142384b5b368
15132d972a30
hexadb4e7880

46629025920 has 256 divisors, whose sum is σ = 165461788800. Its totient is φ = 12410523648.

The previous prime is 46629025913. The next prime is 46629025991. The reversal of 46629025920 is 2952092664.

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

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 31 ways as a sum of consecutive naturals, for example, 10141062 + ... + 10145658.

Almost surely, 246629025920 is an apocalyptic number.

46629025920 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 46629025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82730894400).

46629025920 is an abundant number, since it is smaller than the sum of its proper divisors (118832762880).

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

46629025920 is a wasteful number, since it uses less digits than its factorization.

46629025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 46629025920 in words is "forty-six billion, six hundred twenty-nine million, twenty-five thousand, nine hundred twenty".