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12074658660 = 2234529257017
BaseRepresentation
bin10110011111011010…
…01010101101100100
31011011111121012210000
423033231022231210
5144212103034120
65314053501300
7605135622321
oct131755125544
934144535700
1012074658660
115136914849
12240b941830
1311a577494c
148278d3b48
154aa0bb990
hex2cfb4ab64

12074658660 has 120 divisors (see below), whose sum is σ = 39184964280. Its totient is φ = 3108865536.

The previous prime is 12074658599. The next prime is 12074658691. The reversal of 12074658660 is 6685647021.

12074658660 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 4 + 6 + 586 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 12071856384 = 1674^2 + 109872^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81529 + ... + 175488.

It is an arithmetic number, because the mean of its divisors is an integer number (326541369).

Almost surely, 212074658660 is an apocalyptic number.

12074658660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12074658660 is an abundant number, since it is smaller than the sum of its proper divisors (27110305620).

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

12074658660 is a wasteful number, since it uses less digits than its factorization.

12074658660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257067 (or 257056 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12074658660 in words is "twelve billion, seventy-four million, six hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 257017 514034 771051 1028068 1285085 1542102 2313153 2570170 3084204 3855255 4626306 5140340 6939459 7453493 7710510 9252612 11565765 13878918 14906986 15421020 20818377 22360479 23131530 27757836 29813972 34697295 37267465 41636754 44720958 46263060 67081437 69394590 74534930 83273508 89441916 104091885 111802395 134162874 138789180 149069860 201244311 208183770 223604790 268325748 335407185 402488622 416367540 447209580 603732933 670814370 804977244 1006221555 1207465866 1341628740 2012443110 2414931732 3018664665 4024886220 6037329330 12074658660