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10379288631 = 319601302983
BaseRepresentation
bin10011010101010011…
…10110000000110111
3222210100110111022110
421222221312000313
5132224044214011
64433532102103
7515131332465
oct115251660067
928710414273
1010379288631
114446924198
122018004933
13c9545990a
14706695835
1540b32eba6
hex26aa76037

10379288631 has 16 divisors (see below), whose sum is σ = 14591709440. Its totient is φ = 6544411200.

The previous prime is 10379288617. The next prime is 10379288659. The reversal of 10379288631 is 13688297301.

10379288631 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 10379288631 - 29 = 10379288119 is a prime.

It is a super-2 number, since 2×103792886312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379288611) 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 15 ways as a sum of consecutive naturals, for example, 117235 + ... + 185748.

It is an arithmetic number, because the mean of its divisors is an integer number (911981840).

Almost surely, 210379288631 is an apocalyptic number.

10379288631 is a deficient number, since it is larger than the sum of its proper divisors (4212420809).

10379288631 is a wasteful number, since it uses less digits than its factorization.

10379288631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303606.

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 10379288631 in words is "ten billion, three hundred seventy-nine million, two hundred eighty-eight thousand, six hundred thirty-one".

Divisors: 1 3 19 57 601 1803 11419 34257 302983 908949 5756677 17270031 182092783 546278349 3459762877 10379288631