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11788964929 = 72155112
BaseRepresentation
bin10101111101010110…
…10101010001000001
31010102121000110122201
422332223111101001
5143120433334204
65225450233201
7565066356100
oct127653252101
933377013581
1011788964929
114aaa621925
122350125801
13115b5157c1
147db9a6037
1548ee869a4
hex2bead5441

11788964929 has 9 divisors (see below), whose sum is σ = 13714578081. Its totient is φ = 10104175620.

The previous prime is 11788964917. The next prime is 11788964933. The reversal of 11788964929 is 92946988711.

It is a happy number.

The square root of 11788964929 is 108577.

It is a perfect power (a square), and thus also a powerful number.

11788964929 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 11788964929 - 215 = 11788932161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11788964989) 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 8 ways as a sum of consecutive naturals, for example, 752284 + ... + 767794.

It is an arithmetic number, because the mean of its divisors is an integer number (1523842009).

Almost surely, 211788964929 is an apocalyptic number.

11788964929 is the 108577-th square number.

11788964929 is the 54289-th centered octagonal number.

It is an amenable number.

11788964929 is a deficient number, since it is larger than the sum of its proper divisors (1925613152).

11788964929 is an frugal number, since it uses more digits than its factorization.

11788964929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31036 (or 15518 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 64.

Multiplying 11788964929 by its sum of digits (64), we get a square (754493755456 = 8686162).

The spelling of 11788964929 in words is "eleven billion, seven hundred eighty-eight million, nine hundred sixty-four thousand, nine hundred twenty-nine".

Divisors: 1 7 49 15511 108577 760039 240591121 1684137847 11788964929