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10306715076 = 22347413249
BaseRepresentation
bin10011001100101001…
…11111110111000100
3222121021220101010000
421212110333313010
5132102004340301
64422420401300
7513260430000
oct114624776704
928537811100
1010306715076
114409965649
121bb7846230
13c833c9898
146daba3700
15404c96786
hex26653fdc4

10306715076 has 150 divisors (see below), whose sum is σ = 31434922750. Its totient is φ = 2944553472.

The previous prime is 10306715051. The next prime is 10306715077. The reversal of 10306715076 is 67051760301.

It can be written as a sum of positive squares in only one way, i.e., 7779240000 + 2527475076 = 88200^2 + 50274^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10306715076.

It is not an unprimeable number, because it can be changed into a prime (10306715077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 771300 + ... + 784548.

Almost surely, 210306715076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306715076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717461375).

10306715076 is an abundant number, since it is smaller than the sum of its proper divisors (21128207674).

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

10306715076 is an equidigital number, since it uses as much as digits as its factorization.

10306715076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10306715076 in words is "ten billion, three hundred six million, seven hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 343 378 441 567 588 686 756 882 1029 1134 1323 1372 1764 2058 2268 2401 2646 3087 3969 4116 4802 5292 6174 7203 7938 9261 9604 12348 13249 14406 15876 18522 21609 26498 27783 28812 37044 39747 43218 52996 55566 64827 79494 86436 92743 111132 119241 129654 158988 185486 194481 238482 259308 278229 357723 370972 388962 476964 556458 649201 715446 777924 834687 1073169 1112916 1298402 1430892 1669374 1947603 2146338 2504061 2596804 3338748 3895206 4292676 4544407 5008122 5842809 7512183 7790412 9088814 10016244 11685618 13633221 15024366 17528427 18177628 23371236 27266442 30048732 31810849 35056854 40899663 52585281 54532884 63621698 70113708 81799326 95432547 105170562 122698989 127243396 163598652 190865094 210341124 245397978 286297641 368096967 381730188 490795956 572595282 736193934 858892923 1145190564 1472387868 1717785846 2576678769 3435571692 5153357538 10306715076