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46132340160 = 2635234348589
BaseRepresentation
bin101010111101101100…
…111010010111000000
311102002001010200202010
4222331230322113000
51223434334341120
633105400052520
73222126264354
oct527554722700
9142061120663
1046132340160
1118623559a65
128b35764140
1344726a5cca
142338bc9464
1513000617e0
hexabdb3a5c0

46132340160 has 224 divisors, whose sum is σ = 156396049920. Its totient is φ = 11493199872.

The previous prime is 46132340159. The next prime is 46132340213. The reversal of 46132340160 is 6104323164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925146 + ... + 973734.

Almost surely, 246132340160 is an apocalyptic number.

46132340160 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 46132340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78198024960).

46132340160 is an abundant number, since it is smaller than the sum of its proper divisors (110263709760).

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

46132340160 is a wasteful number, since it uses less digits than its factorization.

46132340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48675 (or 48665 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 46132340160 in words is "forty-six billion, one hundred thirty-two million, three hundred forty thousand, one hundred sixty".