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132860496384 = 29327113147257
BaseRepresentation
bin111101110111100011…
…0100100101000000000
3110200221021110111222100
41323233012210220000
54134044241341014
6141011341310400
712412256404650
oct1735706445000
9420837414870
10132860496384
1151389317430
12218ba865400
13c6b46c3945
14660535a360
1536c904d009
hex1eef1a4a00

132860496384 has 960 divisors, whose sum is σ = 505942474752. Its totient is φ = 32558284800.

The previous prime is 132860496367. The next prime is 132860496397. The reversal of 132860496384 is 483694068231.

132860496384 is a `hidden beast` number, since 1 + 3 + 28 + 604 + 9 + 6 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×1328604963842 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132860496384.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 516966784 + ... + 516967040.

Almost surely, 2132860496384 is an apocalyptic number.

132860496384 is a gapful number since it is divisible by the number (14) 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 132860496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252971237376).

132860496384 is an abundant number, since it is smaller than the sum of its proper divisors (373081978368).

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

132860496384 is a wasteful number, since it uses less digits than its factorization.

132860496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 132860496384 in words is "one hundred thirty-two billion, eight hundred sixty million, four hundred ninety-six thousand, three hundred eighty-four".