Search a number
-
+
16100310915936 = 25321331138719249
BaseRepresentation
bin1110101001001010010101…
…0100000001101101100000
32010000011201100110022110100
43222102211110001231200
54102241414043302221
654124214123102400
73251131466516442
oct352224524015540
963004640408410
1016100310915936
115148115861295
121980421671a00
138ca339548280
143d938b394492
151cdc1557d926
hexea4a5501b60

16100310915936 has 144 divisors (see below), whose sum is σ = 50897757456000. Its totient is φ = 4794137210880.

The previous prime is 16100310915919. The next prime is 16100310915943. The reversal of 16100310915936 is 63951901300161.

16100310915936 is a `hidden beast` number, since 1 + 610 + 0 + 3 + 10 + 9 + 15 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×161003109159363 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16100310915891 and 16100310915900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69243561 + ... + 69475688.

It is an arithmetic number, because the mean of its divisors is an integer number (353456649000).

Almost surely, 216100310915936 is an apocalyptic number.

16100310915936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16100310915936 is an abundant number, since it is smaller than the sum of its proper divisors (34797446540064).

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

16100310915936 is a wasteful number, since it uses less digits than its factorization.

16100310915936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138719309 (or 138719298 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 16100310915936 in words is "sixteen trillion, one hundred billion, three hundred ten million, nine hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 138719249 277438498 416157747 554876996 832315494 1109753992 1248473241 1664630988 1803350237 2219507984 2496946482 3329261976 3606700474 4300296719 4439015968 4993892964 5410050711 6658523952 7213400948 8600593438 9987785928 10820101422 12900890157 13317047904 14426801896 16230152133 17201186876 19975571856 21640202844 25801780314 28853603792 32460304266 34402373752 38702670471 39951143712 43280405688 51603560628 55903857347 57707207584 64920608532 68804747504 77405340942 86560811376 103207121256 111807714694 129841217064 137609495008 154810681884 167711572041 173121622752 206414242512 223615429388 259682434128 309621363768 335423144082 412828485024 447230858776 503134716123 519364868256 619242727536 670846288164 894461717552 1006269432246 1238485455072 1341692576328 1788923435104 2012538864492 2683385152656 4025077728984 5366770305312 8050155457968 16100310915936