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46157347320 = 23357289193457
BaseRepresentation
bin101010111111001100…
…010011100111111000
311102010210012012010020
4222333030103213320
51224012240103240
633112052050440
73222551656500
oct527714234770
9142123165106
1046157347320
111863668a237
128b42003a20
134477920546
14233c258a00
1513023510d0
hexabf3139f8

46157347320 has 384 divisors, whose sum is σ = 164091873600. Its totient is φ = 10354950144.

The previous prime is 46157347303. The next prime is 46157347321. The reversal of 46157347320 is 2374375164.

It is a super-2 number, since 2×461573473202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46157347321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101000532 + ... + 101000988.

Almost surely, 246157347320 is an apocalyptic number.

46157347320 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 46157347320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82045936800).

46157347320 is an abundant number, since it is smaller than the sum of its proper divisors (117934526280).

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

46157347320 is a wasteful number, since it uses less digits than its factorization.

46157347320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 46157347320 in words is "forty-six billion, one hundred fifty-seven million, three hundred forty-seven thousand, three hundred twenty".