Search a number
-
+
10010768688 = 2432373918593
BaseRepresentation
bin10010101001011000…
…00011010100110000
3221211200000201222200
421110230003110300
5131000224044223
64333205303200
7503035062354
oct112454032460
927750021880
1010010768688
1142778aa758
121b34704b00
13c36cbab8b
146ad767464
153d8cd8a43
hex254b03530

10010768688 has 60 divisors (see below), whose sum is σ = 28025248680. Its totient is φ = 3335851008.

The previous prime is 10010768671. The next prime is 10010768759. The reversal of 10010768688 is 88686701001.

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 11 ways as a sum of consecutive naturals, for example, 529120 + ... + 547712.

It is an arithmetic number, because the mean of its divisors is an integer number (467087478).

Almost surely, 210010768688 is an apocalyptic number.

10010768688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10010768688 is an abundant number, since it is smaller than the sum of its proper divisors (18014479992).

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

10010768688 is a wasteful number, since it uses less digits than its factorization.

10010768688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22346 (or 22337 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10010768688 in words is "ten billion, ten million, seven hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3739 7478 11217 14956 18593 22434 29912 33651 37186 44868 55779 59824 67302 74372 89736 111558 134604 148744 167337 179472 223116 269208 297488 334674 446232 538416 669348 892464 1338696 2677392 69519227 139038454 208557681 278076908 417115362 556153816 625673043 834230724 1112307632 1251346086 1668461448 2502692172 3336922896 5005384344 10010768688