Search a number
-
+
107358994982976 = 26311471081550159
BaseRepresentation
bin11000011010010001110110…
…110000100110100001000000
3112002010102022221200011222120
4120122101312300212201000
5103032432210203423401
61020200012540404240
731420300656335052
oct3032216660464100
9462112287604876
10107358994982976
113123176a9086a0
121005aa86246680
1347b9ba9a54709
141c722bb3878d2
15c629c1a5c836
hex61a476c26840

107358994982976 has 112 divisors (see below), whose sum is σ = 316470229217280. Its totient is φ = 31840836651520.

The previous prime is 107358994982887. The next prime is 107358994982989. The reversal of 107358994982976 is 679289499853701.

It is a junction number, because it is equal to n+sod(n) for n = 107358994982892 and 107358994982901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540675816 + ... + 540874343.

It is a 1-persistent number, because it is pandigital, but 2⋅107358994982976 = 214717989965952 is not.

Almost surely, 2107358994982976 is an apocalyptic number.

107358994982976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107358994982976 is an abundant number, since it is smaller than the sum of its proper divisors (209111234234304).

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

107358994982976 is a wasteful number, since it uses less digits than its factorization.

107358994982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081550232 (or 1081550222 counting only the distinct ones).

The product of its (nonzero) digits is 14814213120, while the sum is 87.

The spelling of 107358994982976 in words is "one hundred seven trillion, three hundred fifty-eight billion, nine hundred ninety-four million, nine hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 132 141 176 188 192 264 282 352 376 517 528 564 704 752 1034 1056 1128 1504 1551 2068 2112 2256 3008 3102 4136 4512 6204 8272 9024 12408 16544 24816 33088 49632 99264 1081550159 2163100318 3244650477 4326200636 6489300954 8652401272 11897051749 12978601908 17304802544 23794103498 25957203816 34609605088 35691155247 47588206996 50832857473 51914407632 69219210176 71382310494 95176413992 101665714946 103828815264 142764620988 152498572419 190352827984 203331429892 207657630528 285529241976 304997144838 380705655968 406662859784 559161432203 571058483952 609994289676 761411311936 813325719568 1118322864406 1142116967904 1219988579352 1626651439136 1677484296609 2236645728812 2284233935808 2439977158704 3253302878272 3354968593218 4473291457624 4879954317408 6709937186436 8946582915248 9759908634816 13419874372872 17893165830496 26839748745744 35786331660992 53679497491488 107358994982976