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10930383168 = 263473173821
BaseRepresentation
bin10100010111000000…
…00110100101000000
31001012202102222220020
422023200012211000
5134341134230133
65004340013440
7534602503215
oct121340064500
931182388806
1010930383168
1146a9a09721
122150691280
131052691363
1475994bb0c
1543e8dc0b3
hex28b806940

10930383168 has 112 divisors (see below), whose sum is σ = 29636216064. Its totient is φ = 3553761280.

The previous prime is 10930383161. The next prime is 10930383169. The reversal of 10930383168 is 86138303901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930383161) 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 15 ways as a sum of consecutive naturals, for example, 2858698 + ... + 2862518.

It is an arithmetic number, because the mean of its divisors is an integer number (264609072).

Almost surely, 210930383168 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 10930383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818108032).

10930383168 is an abundant number, since it is smaller than the sum of its proper divisors (18705832896).

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

10930383168 is a wasteful number, since it uses less digits than its factorization.

10930383168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 10930383168 in words is "ten billion, nine hundred thirty million, three hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 317 376 564 634 752 951 1128 1268 1504 1902 2256 2536 3008 3804 3821 4512 5072 7608 7642 9024 10144 11463 14899 15216 15284 20288 22926 29798 30432 30568 44697 45852 59596 60864 61136 89394 91704 119192 122272 178788 179587 183408 238384 244544 357576 359174 366816 476768 538761 715152 718348 733632 953536 1077522 1211257 1430304 1436696 2155044 2422514 2860608 2873392 3633771 4310088 4845028 5746784 7267542 8620176 9690056 11493568 14535084 17240352 19380112 29070168 34480704 38760224 56929079 58140336 77520448 113858158 116280672 170787237 227716316 232561344 341574474 455432632 683148948 910865264 1366297896 1821730528 2732595792 3643461056 5465191584 10930383168