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11852008840 = 2357294213467
BaseRepresentation
bin10110000100110111…
…10100110110001000
31010120222122102122101
423002123310312020
5143233103240330
65240021403144
7566463261430
oct130233646610
933528572571
1011852008840
115032171731
1223692694b4
13116b5ba0a9
148060d72c0
1549578b4ca
hex2c26f4d88

11852008840 has 128 divisors (see below), whose sum is σ = 31611513600. Its totient is φ = 3912975360.

The previous prime is 11852008807. The next prime is 11852008933. The reversal of 11852008840 is 4880025811.

It is a happy number.

It is a super-2 number, since 2×118520088402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11852008840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416787 + ... + 3420253.

It is an arithmetic number, because the mean of its divisors is an integer number (246964950).

Almost surely, 211852008840 is an apocalyptic number.

11852008840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11852008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805756800).

11852008840 is an abundant number, since it is smaller than the sum of its proper divisors (19759504760).

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

11852008840 is a wasteful number, since it uses less digits than its factorization.

11852008840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 11852008840 in words is "eleven billion, eight hundred fifty-two million, eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 421 580 812 842 1015 1160 1624 1684 2030 2105 2947 3368 3467 4060 4210 5894 6934 8120 8420 11788 12209 13868 14735 16840 17335 23576 24269 24418 27736 29470 34670 48538 48836 58940 61045 69340 85463 97076 97672 100543 117880 121345 122090 138680 170926 194152 201086 242690 244180 341852 402172 427315 485380 488360 502715 683704 703801 804344 854630 970760 1005430 1407602 1459607 1709260 2010860 2815204 2919214 3418520 3519005 4021720 5630408 5838428 7038010 7298035 10217249 11676856 14076020 14596070 20434498 28152040 29192140 40868996 42328603 51086245 58384280 81737992 84657206 102172490 169314412 204344980 211643015 296300221 338628824 408689960 423286030 592600442 846572060 1185200884 1481501105 1693144120 2370401768 2963002210 5926004420 11852008840