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10488273088 = 2683101113173
BaseRepresentation
bin10011100010010011…
…00101100011000000
31000001221112110212211
421301021211203000
5132434444214323
64452424031504
7520623564436
oct116111454300
930057473784
1010488273088
1144a23a1897
122048602594
13cb1bc7967
14716d44d56
15415bab70d
hex2712658c0

10488273088 has 112 divisors (see below), whose sum is σ = 21584265696. Its totient is φ = 5054873600.

The previous prime is 10488273077. The next prime is 10488273091. The reversal of 10488273088 is 88037288401.

It is a super-2 number, since 2×104882730882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60625770 + ... + 60625942.

It is an arithmetic number, because the mean of its divisors is an integer number (192716658).

Almost surely, 210488273088 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 10488273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792132848).

10488273088 is an abundant number, since it is smaller than the sum of its proper divisors (11095992608).

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

10488273088 is a wasteful number, since it uses less digits than its factorization.

10488273088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 10488273088 in words is "ten billion, four hundred eighty-eight million, two hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 83 101 113 166 173 202 226 332 346 404 452 664 692 808 904 1328 1384 1616 1808 2656 2768 3232 3616 5312 5536 6464 7232 8383 9379 11072 11413 14359 16766 17473 18758 19549 22826 28718 33532 34946 37516 39098 45652 57436 67064 69892 75032 78196 91304 114872 134128 139784 150064 156392 182608 229744 268256 279568 300128 312784 365216 459488 536512 559136 600256 625568 730432 918976 947279 1118272 1251136 1450259 1622567 1894558 1974449 2900518 3245134 3789116 3948898 5801036 6490268 7578232 7897796 11602072 12980536 15156464 15795592 23204144 25961072 30312928 31591184 46408288 51922144 60625856 63182368 92816576 103844288 126364736 163879267 327758534 655517068 1311034136 2622068272 5244136544 10488273088