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10166094123660 = 2234551191225897
BaseRepresentation
bin1001001111101111101001…
…1011011101001010001100
31022222212110120121221220000
42103323322123131022030
52313030130043424120
633342123354324300
72066322201165006
oct223737233351214
938885416557800
1010166094123660
11326a464115512
121182310429690
13589873b27a77
14272082153376
1512969b90b990
hex93efa6dd28c

10166094123660 has 120 divisors (see below), whose sum is σ = 31897669816320. Its totient is φ = 2710426634496.

The previous prime is 10166094123641. The next prime is 10166094123727. The reversal of 10166094123660 is 6632149066101.

10166094123660 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 609 + 4 + 1 + 2 + 36 + 6 + 0 = 666.

It is a super-2 number, since 2×101660941236602 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7679832 + ... + 8905728.

It is an arithmetic number, because the mean of its divisors is an integer number (265813915136).

Almost surely, 210166094123660 is an apocalyptic number.

10166094123660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166094123660 is an abundant number, since it is smaller than the sum of its proper divisors (21731575692660).

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

10166094123660 is a wasteful number, since it uses less digits than its factorization.

10166094123660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231037 (or 1231026 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10166094123660 in words is "ten trillion, one hundred sixty-six billion, ninety-four million, one hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 5119 10238 15357 20476 25595 30714 46071 51190 61428 76785 92142 102380 138213 153570 184284 230355 276426 307140 414639 460710 552852 691065 829278 921420 1225897 1382130 1658556 2073195 2451794 2764260 3677691 4146390 4903588 6129485 7355382 8292780 11033073 12258970 14710764 18388455 22066146 24517940 33099219 36776910 44132292 55165365 66198438 73553820 99297657 110330730 132396876 165496095 198595314 220661460 330992190 397190628 496488285 661984380 992976570 1985953140 6275366743 12550733486 18826100229 25101466972 31376833715 37652200458 56478300687 62753667430 75304400916 94130501145 112956601374 125507334860 169434902061 188261002290 225913202748 282391503435 338869804122 376522004580 508304706183 564783006870 677739608244 847174510305 1016609412366 1129566013740 1694349020610 2033218824732 2541523530915 3388698041220 5083047061830 10166094123660