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11934988065 = 33572112133137
BaseRepresentation
bin10110001110110000…
…10111011100100001
31010210202210012202000
423013120113130201
5143420324104230
65252144114213
7601521503400
oct130730273441
933722705660
1011934988065
115074a98200
122391005969
131182851520
14813137637
1549cbccb60
hex2c7617721

11934988065 has 576 divisors, whose sum is σ = 30974146560. Its totient is φ = 4311014400.

The previous prime is 11934988031. The next prime is 11934988067. The reversal of 11934988065 is 56088943911.

11934988065 is a `hidden beast` number, since 1 + 1 + 93 + 498 + 8 + 0 + 65 = 666.

11934988065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11934988065 - 214 = 11934971681 is a prime.

It is a super-2 number, since 2×119349880652 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11934988067) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 322567227 + ... + 322567263.

It is an arithmetic number, because the mean of its divisors is an integer number (53774560).

Almost surely, 211934988065 is an apocalyptic number.

11934988065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11934988065 is an abundant number, since it is smaller than the sum of its proper divisors (19039158495).

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

11934988065 is a wasteful number, since it uses less digits than its factorization.

11934988065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 11934 and 988065, that added together give a palindrome (999999).

The spelling of 11934988065 in words is "eleven billion, nine hundred thirty-four million, nine hundred eighty-eight thousand, sixty-five".