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20150995968 = 210341731461
BaseRepresentation
bin10010110001000101…
…111100110000000000
31221000100122122210000
4102301011330300000
5312232123332333
613131321440000
71312234432245
oct226105746000
957010578700
1020150995968
118600791584
123aa4640000
131b91a64c6c
14d9238d5cc
157ce145713
hex4b117cc00

20150995968 has 440 divisors, whose sum is σ = 65912482944. Its totient is φ = 6104678400.

The previous prime is 20150995961. The next prime is 20150995979. The reversal of 20150995968 is 86959905102.

20150995968 is a `hidden beast` number, since 20 + 1 + 509 + 9 + 59 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20150995961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43711258 + ... + 43711718.

Almost surely, 220150995968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20150995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32956241472).

20150995968 is an abundant number, since it is smaller than the sum of its proper divisors (45761486976).

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

20150995968 is a wasteful number, since it uses less digits than its factorization.

20150995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 20150995968 in words is "twenty billion, one hundred fifty million, nine hundred ninety-five thousand, nine hundred sixty-eight".