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46134690576 = 2431317231731093
BaseRepresentation
bin101010111101110101…
…111000001100010000
311102002012120002220120
4222331311320030100
51223440440044301
633105522310240
73222155254032
oct527565701420
9142065502816
1046134690576
1118624914957
128b364b8380
134473019aa0
14233923bc52
151300377e36
hexabdd78310

46134690576 has 320 divisors, whose sum is σ = 142757862912. Its totient is φ = 12693897216.

The previous prime is 46134690521. The next prime is 46134690577. The reversal of 46134690576 is 67509643164.

46134690576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (46134690577) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42208686 + ... + 42209778.

Almost surely, 246134690576 is an apocalyptic number.

46134690576 is a gapful number since it is divisible by the number (46) 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 46134690576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71378931456).

46134690576 is an abundant number, since it is smaller than the sum of its proper divisors (96623172336).

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

46134690576 is a wasteful number, since it uses less digits than its factorization.

46134690576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 46134690576 in words is "forty-six billion, one hundred thirty-four million, six hundred ninety thousand, five hundred seventy-six".