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10386674532 = 22321325786357
BaseRepresentation
bin10011010110001100…
…00001001101100100
3222210212100201212100
421223012001031210
5132232442041112
64434354252100
7515251163643
oct115306011544
928725321770
1010386674532
114450009343
12201a587030
13c96b44680
1470765935a
1540bcdd2dc
hex26b181364

10386674532 has 72 divisors (see below), whose sum is σ = 28385183736. Its totient is φ = 3183427584.

The previous prime is 10386674483. The next prime is 10386674579. The reversal of 10386674532 is 23547668301.

10386674532 is a `hidden beast` number, since 10 + 38 + 6 + 6 + 74 + 532 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3539774016 + 6846900516 = 59496^2 + 82746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77098 + ... + 163454.

It is an arithmetic number, because the mean of its divisors is an integer number (394238663).

Almost surely, 210386674532 is an apocalyptic number.

10386674532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10386674532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192591868).

10386674532 is an abundant number, since it is smaller than the sum of its proper divisors (17998509204).

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

10386674532 is a wasteful number, since it uses less digits than its factorization.

10386674532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86637 (or 86632 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10386674532 in words is "ten billion, three hundred eighty-six million, six hundred seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 257 468 514 771 1028 1542 2313 3084 3341 4626 6682 9252 10023 13364 20046 30069 40092 60138 86357 120276 172714 259071 345428 518142 777213 1036284 1122641 1554426 2245282 3108852 3367923 4490564 6735846 10103769 13471692 20207538 22193749 40415076 44387498 66581247 88774996 133162494 199743741 266324988 288518737 399487482 577037474 798974964 865556211 1154074948 1731112422 2596668633 3462224844 5193337266 10386674532