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10276756928 = 263141126337
BaseRepresentation
bin10011001001000101…
…01101110111000000
3222112012112100020222
421210202231313000
5132021322210203
64415430322212
7512444664314
oct114442556700
928465470228
1010276756928
1143a3a63649
121ba97b9368
13c7a13a979
146d6c05b44
1540232a038
hex2648addc0

10276756928 has 56 divisors (see below), whose sum is σ = 21564380544. Its totient is φ = 4851302400.

The previous prime is 10276756909. The next prime is 10276756951. The reversal of 10276756928 is 82965767201.

It is a super-2 number, since 2×102767569282 (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 10276756928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18176 + ... + 144512.

It is an arithmetic number, because the mean of its divisors is an integer number (385078224).

Almost surely, 210276756928 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 10276756928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10782190272).

10276756928 is an abundant number, since it is smaller than the sum of its proper divisors (11287623616).

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

10276756928 is a wasteful number, since it uses less digits than its factorization.

10276756928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126421 (or 126411 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 10276756928 in words is "ten billion, two hundred seventy-six million, seven hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 164 248 328 496 656 992 1271 1312 1984 2542 2624 5084 10168 20336 40672 81344 126337 252674 505348 1010696 2021392 3916447 4042784 5179817 7832894 8085568 10359634 15665788 20719268 31331576 41438536 62663152 82877072 125326304 160574327 165754144 250652608 321148654 331508288 642297308 1284594616 2569189232 5138378464 10276756928