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13972842260 = 22513243127757
BaseRepresentation
bin11010000001101100…
…01010011100010100
31100001210100221011022
431000312022130110
5212104021423020
610230302300312
71003155125306
oct150066123424
940053327138
1013972842260
115a2033a223
12285b587698
131418ac0800
14967a47976
1556ba6b625
hex340d8a714

13972842260 has 144 divisors (see below), whose sum is σ = 32811964416. Its totient is φ = 4992938496.

The previous prime is 13972842239. The next prime is 13972842287. The reversal of 13972842260 is 6224827931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18457802 + ... + 18458558.

It is an arithmetic number, because the mean of its divisors is an integer number (227860864).

Almost surely, 213972842260 is an apocalyptic number.

13972842260 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 13972842260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405982208).

13972842260 is an abundant number, since it is smaller than the sum of its proper divisors (18839122156).

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

13972842260 is a wasteful number, since it uses less digits than its factorization.

13972842260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 13972842260 in words is "thirteen billion, nine hundred seventy-two million, eight hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 127 130 169 172 215 254 260 338 430 508 559 635 676 757 845 860 1118 1270 1514 1651 1690 2236 2540 2795 3028 3302 3380 3785 5461 5590 6604 7267 7570 8255 9841 10922 11180 14534 15140 16510 19682 21463 21844 27305 29068 32551 33020 36335 39364 42926 49205 54610 65102 70993 72670 85852 96139 98410 107315 109220 127933 130204 141986 145340 162755 192278 196820 214630 255866 283972 325510 354965 384556 423163 429260 480695 511732 639665 651020 709930 846326 922909 961390 1249807 1279330 1419860 1692652 1845818 1922780 2115815 2499614 2558660 3691636 4133977 4231630 4614545 4999228 5501119 6249035 8267954 8463260 9229090 11002238 12498070 16247491 16535908 18458180 20669885 22004476 24996140 27505595 32494982 41339770 53741701 55011190 64989964 81237455 82679540 107483402 110022380 162474910 214966804 268708505 324949820 537417010 698642113 1074834020 1397284226 2794568452 3493210565 6986421130 13972842260