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46386776928 = 25319294212083
BaseRepresentation
bin101011001100110111…
…100000101101100000
311102201202220102101010
4223030313200231200
51230000003330203
633150525340520
73231336045462
oct531467405540
9142652812333
1046386776928
1118744143088
128ba6a07740
1344b330cccb
1423608dc132
151317570303
hexaccde0b60

46386776928 has 192 divisors, whose sum is σ = 132972537600. Its totient is φ = 14102968320.

The previous prime is 46386776921. The next prime is 46386776939. The reversal of 46386776928 is 82967768364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46386776921) 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 31 ways as a sum of consecutive naturals, for example, 22268175 + ... + 22270257.

It is an arithmetic number, because the mean of its divisors is an integer number (692565300).

Almost surely, 246386776928 is an apocalyptic number.

46386776928 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 46386776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66486268800).

46386776928 is an abundant number, since it is smaller than the sum of its proper divisors (86585760672).

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

46386776928 is a wasteful number, since it uses less digits than its factorization.

46386776928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2557 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The spelling of 46386776928 in words is "forty-six billion, three hundred eighty-six million, seven hundred seventy-six thousand, nine hundred twenty-eight".