Search a number
-
+
103332541919488 = 287229284055413
BaseRepresentation
bin10111011111101011111011…
…011101000111000100000000
3111112212111100111212121212021
4113133223323131013010000
5102021000021212410423
61003434151525411224
730523346501110600
oct2737537335070400
9445774314777767
10103332541919488
112aa1a0a3048992
12b70a657269b14
1345872a86853bb
141b73470ad8c00
15be2db355795d
hex5dfafb747100

103332541919488 has 108 divisors (see below), whose sum is σ = 248210461307340. Its totient is φ = 42758293057536.

The previous prime is 103332541919479. The next prime is 103332541919521. The reversal of 103332541919488 is 884919145233301.

It can be written as a sum of positive squares in 2 ways, for example, as 68572178612224 + 34760363307264 = 8280832^2 + 5895792^2 .

It is a super-2 number, since 2×1033325419194882 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141663931 + ... + 142391482.

It is an arithmetic number, because the mean of its divisors is an integer number (2298245012105).

Almost surely, 2103332541919488 is an apocalyptic number.

It is an amenable number.

103332541919488 is an abundant number, since it is smaller than the sum of its proper divisors (144877919387852).

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

103332541919488 is an equidigital number, since it uses as much as digits as its factorization.

103332541919488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284055472 (or 284055451 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 103332541919488 in words is "one hundred three trillion, three hundred thirty-two billion, five hundred forty-one million, nine hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 784 812 896 928 1421 1568 1624 1792 1856 2842 3136 3248 3712 5684 6272 6496 7424 11368 12544 12992 22736 25984 45472 51968 90944 181888 363776 284055413 568110826 1136221652 1988387891 2272443304 3976775782 4544886608 7953551564 8237606977 9089773216 13918715237 15907103128 16475213954 18179546432 27837430474 31814206256 32950427908 36359092864 55674860948 57663248839 63628412512 65900855816 72718185728 111349721896 115326497678 127256825024 131801711632 222699443792 230652995356 254513650048 263603423264 403642741873 445398887584 461305990712 509027300096 527206846528 807285483746 890797775168 922611981424 1054413693056 1614570967492 1781595550336 1845223962848 2108827386112 3229141934984 3563191100672 3690447925696 6458283869968 7380895851392 12916567739936 14761791702784 25833135479872 51666270959744 103332541919488