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10379246472 = 233376864581
BaseRepresentation
bin10011010101010011…
…01011101110001000
3222210100101100111000
421222221223232020
5132224041341342
64433531135000
7515131065540
oct115251535610
928710340430
1010379246472
1144468a5551
122017ba4460
13c9544367a
14706684320
1540b32244c
hex26aa6bb88

10379246472 has 64 divisors (see below), whose sum is σ = 32949993600. Its totient is φ = 2965498560.

The previous prime is 10379246417. The next prime is 10379246491. The reversal of 10379246472 is 27464297301.

10379246472 is a `hidden beast` number, since 1 + 0 + 37 + 92 + 464 + 72 = 666.

10379246472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3430779 + ... + 3433802.

It is an arithmetic number, because the mean of its divisors is an integer number (514843650).

Almost surely, 210379246472 is an apocalyptic number.

10379246472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10379246472 is an abundant number, since it is smaller than the sum of its proper divisors (22570747128).

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

10379246472 is a wasteful number, since it uses less digits than its factorization.

10379246472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864603 (or 6864593 counting only the distinct ones).

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

The spelling of 10379246472 in words is "ten billion, three hundred seventy-nine million, two hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6864581 13729162 20593743 27458324 41187486 48052067 54916648 61781229 82374972 96104134 123562458 144156201 164749944 185343687 192208268 247124916 288312402 370687374 384416536 432468603 494249832 576624804 741374748 864937206 1153249608 1297405809 1482749496 1729874412 2594811618 3459748824 5189623236 10379246472