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10379264247 = 3211591776967
BaseRepresentation
bin10011010101010011…
…10000000011110111
3222210100102020212100
421222221300003313
5132224042423442
64433531353143
7515131201422
oct115251600367
928710366770
1010379264247
114446907940
122017bb27b3
13c9544b7a1
1470668a9b9
1540b32784c
hex26aa700f7

10379264247 has 24 divisors (see below), whose sum is σ = 16632420480. Its totient is φ = 6183841680.

The previous prime is 10379264239. The next prime is 10379264249. The reversal of 10379264247 is 74246297301.

10379264247 is a `hidden beast` number, since 10 + 379 + 26 + 4 + 247 = 666.

10379264247 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 10379264247 - 23 = 10379264239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379264249) 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 23 ways as a sum of consecutive naturals, for example, 882643 + ... + 894324.

It is an arithmetic number, because the mean of its divisors is an integer number (693017520).

Almost surely, 210379264247 is an apocalyptic number.

10379264247 is a deficient number, since it is larger than the sum of its proper divisors (6253156233).

10379264247 is a wasteful number, since it uses less digits than its factorization.

10379264247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777043 (or 1777040 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10379264247 in words is "ten billion, three hundred seventy-nine million, two hundred sixty-four thousand, two hundred forty-seven".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 1776967 5330901 15992703 19546637 58639911 104841053 175919733 314523159 943569477 1153251583 3459754749 10379264247