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10387840584 = 2331143915067
BaseRepresentation
bin10011010110010100…
…11101111001001000
3222210221112222101110
421223022131321020
5132233241344314
64434435250320
7515264121342
oct115312357110
928727488343
1010387840584
114450735420
12201aa499a0
13c97162344
14707880292
1540be6da59
hex26b29de48

10387840584 has 64 divisors (see below), whose sum is σ = 28989354240. Its totient is φ = 3074621760.

The previous prime is 10387840577. The next prime is 10387840601. The reversal of 10387840584 is 48504878301.

10387840584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103878405842 (a number of 21 digits) contains 22 as substring.

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, 446182 + ... + 468885.

It is an arithmetic number, because the mean of its divisors is an integer number (452958660).

Almost surely, 210387840584 is an apocalyptic number.

It is an amenable number.

10387840584 is an abundant number, since it is smaller than the sum of its proper divisors (18601513656).

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

10387840584 is a wasteful number, since it uses less digits than its factorization.

10387840584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915130 (or 915126 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 10387840584 in words is "ten billion, three hundred eighty-seven million, eight hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 915067 1830134 2745201 3660268 5490402 7320536 10065737 10980804 20131474 21961608 30197211 39347881 40262948 60394422 78695762 80525896 118043643 120788844 157391524 236087286 241577688 314783048 432826691 472174572 865653382 944349144 1298480073 1731306764 2596960146 3462613528 5193920292 10387840584