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156936019968 = 2133471323113
BaseRepresentation
bin1001001000101000011…
…1011010000000000000
3120000002010210211120000
42102022013122000000
510032401110114333
6200032335320000
714224010105550
oct2221207320000
9500063724500
10156936019968
1160613323662
12264b9680000
1311a505439a0
14784aa15160
1541379ab713
hex248a1da000

156936019968 has 1120 divisors, whose sum is σ = 607453330176. Its totient is φ = 39239811072.

The previous prime is 156936019951. The next prime is 156936020023. The reversal of 156936019968 is 869910639651.

156936019968 is a `hidden beast` number, since 1 + 569 + 3 + 6 + 0 + 1 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1388814280 + ... + 1388814392.

Almost surely, 2156936019968 is an apocalyptic number.

156936019968 is a gapful number since it is divisible by the number (18) 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 156936019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303726665088).

156936019968 is an abundant number, since it is smaller than the sum of its proper divisors (450517310208).

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

156936019968 is a wasteful number, since it uses less digits than its factorization.

156936019968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 156936019968 in words is "one hundred fifty-six billion, nine hundred thirty-six million, nineteen thousand, nine hundred sixty-eight".