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10306364376 = 23371117328061
BaseRepresentation
bin10011001100100111…
…01010001111011000
3222121021020120001010
421212103222033120
5132101412130001
64422405053520
7513254436360
oct114623521730
928537216033
1010306364376
114409746110
121bb76b72a0
13c83306079
146dab119a0
15404c278d6
hex2664ea3d8

10306364376 has 128 divisors (see below), whose sum is σ = 34013468160. Its totient is φ = 2519500800.

The previous prime is 10306364371. The next prime is 10306364417. The reversal of 10306364376 is 67346360301.

10306364376 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 2×103063643762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10306364371) 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 31 ways as a sum of consecutive naturals, for example, 132615 + ... + 195446.

It is an arithmetic number, because the mean of its divisors is an integer number (265730220).

Almost surely, 210306364376 is an apocalyptic number.

It is an amenable number.

10306364376 is an abundant number, since it is smaller than the sum of its proper divisors (23707103784).

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

10306364376 is a wasteful number, since it uses less digits than its factorization.

10306364376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328105 (or 328101 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 10306364376 in words is "ten billion, three hundred six million, three hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4488 5236 7854 10472 15708 31416 328061 656122 984183 1312244 1968366 2296427 2624488 3608671 3936732 4592854 5577037 6889281 7217342 7873464 9185708 10826013 11154074 13778562 14434684 16731111 18371416 21652026 22308148 25260697 27557124 28869368 33462222 39039259 43304052 44616296 50521394 55114248 61347407 66924444 75782091 78078518 86608104 101042788 117117777 122694814 133848888 151564182 156157036 184042221 202085576 234235554 245389628 303128364 312314072 368084442 429431849 468471108 490779256 606256728 736168884 858863698 936942216 1288295547 1472337768 1717727396 2576591094 3435454792 5153182188 10306364376