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115161100346655 = 33511239823394259
BaseRepresentation
bin11010001011110100001000…
…011110100110010100011111
3120002202021221002101110101000
4122023310020132212110133
5110043244413142043110
61044532140143521343
733154054264603656
oct3213641036462437
9502667832343330
10115161100346655
113376a6039a1610
1210ababab5b9253
134c34850574a1c
142061b813ca19d
15d4a9102c51c0
hex68bd087a651f

115161100346655 has 128 divisors (see below), whose sum is σ = 224550309888000. Its totient is φ = 55534361823360.

The previous prime is 115161100346653. The next prime is 115161100346707. The reversal of 115161100346655 is 556643001161511.

115161100346655 is a `hidden beast` number, since 1 + 15 + 16 + 110 + 0 + 3 + 466 + 55 = 666.

It is not a de Polignac number, because 115161100346655 - 21 = 115161100346653 is a prime.

It is a super-3 number, since 3×1151611003466553 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 115161100346655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115161100346653) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291897916 + ... + 292292174.

It is an arithmetic number, because the mean of its divisors is an integer number (1754299296000).

Almost surely, 2115161100346655 is an apocalyptic number.

115161100346655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115161100346655 is a deficient number, since it is larger than the sum of its proper divisors (109389209541345).

115161100346655 is a wasteful number, since it uses less digits than its factorization.

115161100346655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395346 (or 395340 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 115161100346655 in words is "one hundred fifteen trillion, one hundred sixty-one billion, one hundred million, three hundred forty-six thousand, six hundred fifty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 239 297 495 717 823 1195 1485 2151 2469 2629 3585 4115 6453 7407 7887 9053 10755 12345 13145 22221 23661 27159 32265 37035 39435 45265 70983 81477 111105 118305 135795 196697 244431 354915 394259 407385 590091 983485 1182777 1222155 1770273 1971295 2163667 2950455 3548331 4336849 5310819 5913885 6491001 8851365 10644993 10818335 13010547 17741655 19473003 21684245 26554095 32455005 39031641 53224965 58419009 65052735 94227901 97365015 117094923 195158205 282683703 292095045 324475157 471139505 585474615 848051109 973425471 1036506911 1413418515 1622375785 2544153327 2920276413 3109520733 3569226727 4240255545 4867127355 5182534555 8760829239 9328562199 10707680181 12720766635 14601382065 15547603665 17846133635 27985686597 32123040543 43804146195 46642810995 53538400905 77549562523 96369121629 139928432985 160615202715 232648687569 387747812615 481845608145 697946062707 853045187753 1163243437845 2093838188121 2559135563259 3489730313535 4265225938765 7677406689777 10469190940605 12795677816295 23032220069331 38387033448885 115161100346655