Search a number
-
+
115615117066120 = 235714532399118457
BaseRepresentation
bin11010010010011010111101…
…111110111011111110001000
3120011100200211021221111020021
4122102122331332323332020
5110123214224432103440
61045520503533510224
733231626244211060
oct3222327576737610
9504320737844207
10115615117066120
113392510655a821
1210b72b98942374
134c685c6b79659
142079b315463a0
15d57633edc84a
hex6926bdfbbf88

115615117066120 has 128 divisors (see below), whose sum is σ = 297627146496000. Its totient is φ = 39595341367296.

The previous prime is 115615117066093. The next prime is 115615117066153. The reversal of 115615117066120 is 21660711516511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975949932 + ... + 976068388.

It is an arithmetic number, because the mean of its divisors is an integer number (2325212082000).

Almost surely, 2115615117066120 is an apocalyptic number.

115615117066120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115615117066120 is an abundant number, since it is smaller than the sum of its proper divisors (182012029429880).

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

115615117066120 is a wasteful number, since it uses less digits than its factorization.

115615117066120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122327 (or 122323 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 43.

The spelling of 115615117066120 in words is "one hundred fifteen trillion, six hundred fifteen billion, one hundred seventeen million, sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1453 2399 2906 4798 5812 7265 9596 10171 11624 11995 14530 16793 19192 20342 23990 29060 33586 40684 47980 50855 58120 67172 81368 83965 95960 101710 118457 134344 167930 203420 236914 335860 406840 473828 592285 671720 829199 947656 1184570 1658398 2369140 3316796 3485747 4145995 4738280 6633592 6971494 8291990 13942988 16583980 17428735 24400229 27885976 33167960 34857470 48800458 69714940 97600916 122001145 139429880 172118021 195201832 244002290 284178343 344236042 488004580 568356686 688472084 860590105 976009160 1136713372 1204826147 1376944168 1420891715 1721180210 1989248401 2273426744 2409652294 2841783430 3442360420 3978496802 4819304588 5683566860 6024130735 6884720840 7956993604 9638609176 9946242005 11367133720 12048261470 15913987208 19892484010 24096522940 39784968020 48193045880 79569936040 412911132379 825822264758 1651644529516 2064555661895 2890377926653 3303289059032 4129111323790 5780755853306 8258222647580 11561511706612 14451889633265 16516445295160 23123023413224 28903779266530 57807558533060 115615117066120