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10276687876 = 22721325572
BaseRepresentation
bin10011001001000100…
…11101000000000100
3222112012101211112111
421210202131000010
5132021313003001
64415425030404
7512444256100
oct114442350004
928465354474
1010276687876
1143a3a16784
121ba9785404
13c7a115400
146d6bc8900
15402314851
hex26489d004

10276687876 has 81 divisors (see below), whose sum is σ = 22694194719. Its totient is φ = 4058203968.

The previous prime is 10276687859. The next prime is 10276687879. The reversal of 10276687876 is 67878667201.

The square root of 10276687876 is 101374.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6056886276 + 4219801600 = 77826^2 + 64960^2 .

It is a super-2 number, since 2×102766878762 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10276687876.

It is not an unprimeable number, because it can be changed into a prime (10276687879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18449790 + ... + 18450346.

Almost surely, 210276687876 is an apocalyptic number.

10276687876 is the 101374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10276687876

10276687876 is an abundant number, since it is smaller than the sum of its proper divisors (12417506843).

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

10276687876 is an equidigital number, since it uses as much as digits as its factorization.

10276687876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 58.

The spelling of 10276687876 in words is "ten billion, two hundred seventy-six million, six hundred eighty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 557 637 676 1114 1183 1274 2228 2366 2548 3899 4732 7241 7798 8281 14482 15596 16562 27293 28964 33124 50687 54586 94133 101374 109172 188266 202748 310249 354809 376532 620498 658931 709618 1240996 1317862 1419236 2171743 2635724 4033237 4343486 4612517 8066474 8686972 9225034 15202201 16132948 18450068 28232659 30404402 52432081 56465318 60808804 104864162 112930636 197628613 209728324 367024567 395257226 734049134 790514452 1468098268 2569171969 5138343938 10276687876