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11430520032 = 253119067917
BaseRepresentation
bin10101010010100111…
…11110010011100000
31002111121112120200210
422221103332103200
5141402203120112
65130123414120
7553154550201
oct125123762340
932447476623
1011430520032
114936259978
122270084340
131102193829
147a613b5a8
1546d780b3c
hex2a94fe4e0

11430520032 has 24 divisors (see below), whose sum is σ = 30005115336. Its totient is φ = 3810173312.

The previous prime is 11430520007. The next prime is 11430520097. The reversal of 11430520032 is 23002503411.

11430520032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 11430519990 and 11430520008.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 59533863 + ... + 59534054.

It is an arithmetic number, because the mean of its divisors is an integer number (1250213139).

Almost surely, 211430520032 is an apocalyptic number.

11430520032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11430520032 is an abundant number, since it is smaller than the sum of its proper divisors (18574595304).

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

11430520032 is a wasteful number, since it uses less digits than its factorization.

11430520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119067930 (or 119067922 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 11430520032 in words is "eleven billion, four hundred thirty million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 119067917 238135834 357203751 476271668 714407502 952543336 1428815004 1905086672 2857630008 3810173344 5715260016 11430520032