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150911638656 = 27319314359263
BaseRepresentation
bin1000110010001100001…
…0001101110010000000
3112102112021212120000020
42030203002031302000
54433031334414111
6153154452053440
713621505522622
oct2144302156200
9472467776006
10150911638656
115900175a829
12252b8004280
13113003bc50c
14743889ac12
153dd3b59906
hex232308dc80

150911638656 has 512 divisors, whose sum is σ = 454975488000. Its totient is φ = 44114595840.

The previous prime is 150911638649. The next prime is 150911638667. The reversal of 150911638656 is 656836119051.

150911638656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1509116386562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 150911638599 and 150911638608.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 573808381 + ... + 573808643.

It is an arithmetic number, because the mean of its divisors is an integer number (888624000).

Almost surely, 2150911638656 is an apocalyptic number.

150911638656 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 150911638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227487744000).

150911638656 is an abundant number, since it is smaller than the sum of its proper divisors (304063849344).

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

150911638656 is a wasteful number, since it uses less digits than its factorization.

150911638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 150911638656 in words is "one hundred fifty billion, nine hundred eleven million, six hundred thirty-eight thousand, six hundred fifty-six".