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10052676608 = 210132332833
BaseRepresentation
bin10010101110010111…
…11010110000000000
3221221120212212211212
421113023322300000
5131041441122413
64341303425252
7504054225032
oct112713726000
927846785755
1010052676608
1142995237a7
121b46755228
13c428a1c70
146b5155c52
153dc815ca8
hex2572fac00

10052676608 has 88 divisors (see below), whose sum is σ = 22582962528. Its totient is φ = 4437835776.

The previous prime is 10052676607. The next prime is 10052676671. The reversal of 10052676608 is 80667625001.

It is not an unprimeable number, because it can be changed into a prime (10052676607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289760 + ... + 322592.

Almost surely, 210052676608 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 10052676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291481264).

10052676608 is an abundant number, since it is smaller than the sum of its proper divisors (12530285920).

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

10052676608 is a wasteful number, since it uses less digits than its factorization.

10052676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32889 (or 32871 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 10052676608 in words is "ten billion, fifty-two million, six hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 512 598 736 832 1024 1196 1472 1664 2392 2944 3328 4784 5888 6656 9568 11776 13312 19136 23552 32833 38272 65666 76544 131332 153088 262664 306176 426829 525328 755159 853658 1050656 1510318 1707316 2101312 3020636 3414632 4202624 6041272 6829264 8405248 9817067 12082544 13658528 16810496 19634134 24165088 27317056 33620992 39268268 48330176 54634112 78536536 96660352 109268224 157073072 193320704 218536448 314146144 386641408 437072896 628292288 773282816 1256584576 2513169152 5026338304 10052676608