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132470757936 = 24351131412437
BaseRepresentation
bin111101101011111011…
…1110101101000110000
3110122221010002202100000
41323113313311220300
54132300003223221
6140504540030000
712366514602156
oct1732767655060
9418833082300
10132470757936
11511a9320140
1221810232300
13c651a35c8a
1465a96a73d6
1536a4c14e26
hex1ed7df5a30

132470757936 has 480 divisors, whose sum is σ = 443687602176. Its totient is φ = 37884672000.

The previous prime is 132470757929. The next prime is 132470757953. The reversal of 132470757936 is 639757074231.

132470757936 is a `hidden beast` number, since 1 + 3 + 2 + 470 + 75 + 79 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54356910 + ... + 54359346.

Almost surely, 2132470757936 is an apocalyptic number.

132470757936 is a gapful number since it is divisible by the number (16) 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 132470757936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221843801088).

132470757936 is an abundant number, since it is smaller than the sum of its proper divisors (311216844240).

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

132470757936 is a wasteful number, since it uses less digits than its factorization.

132470757936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 132470757936 in words is "one hundred thirty-two billion, four hundred seventy million, seven hundred fifty-seven thousand, nine hundred thirty-six".