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13881960751872 = 283617108726951
BaseRepresentation
bin1100101000000010010101…
…0101101110001100000000
31211011002202201020212011210
43022000211111232030000
53304420223423024442
645305141300210120
72631636633322653
oct312004525561400
954132681225153
1013881960751872
114472340a40464
121682500699940
137990a90516b5
1435dc676c589a
1519117d15619c
hexca02556e300

13881960751872 has 144 divisors (see below), whose sum is σ = 37041559252992. Its totient is φ = 4615399219200.

The previous prime is 13881960751817. The next prime is 13881960751931. The reversal of 13881960751872 is 27815706918831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515067997 + ... + 515094947.

It is an arithmetic number, because the mean of its divisors is an integer number (257233050368).

Almost surely, 213881960751872 is an apocalyptic number.

13881960751872 is a gapful number since it is divisible by the number (12) 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 13881960751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520779626496).

13881960751872 is an abundant number, since it is smaller than the sum of its proper divisors (23159598501120).

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

13881960751872 is a wasteful number, since it uses less digits than its factorization.

13881960751872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28674 (or 28660 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 66.

The spelling of 13881960751872 in words is "thirteen trillion, eight hundred eighty-one billion, nine hundred sixty million, seven hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 617 768 1087 1234 1851 2174 2468 3261 3702 4348 4936 6522 7404 8696 9872 13044 14808 17392 19744 26088 26951 29616 34784 39488 52176 53902 59232 69568 78976 80853 104352 107804 118464 139136 157952 161706 208704 215608 236928 278272 323412 417408 431216 473856 646824 670679 834816 862432 1293648 1341358 1724864 2012037 2587296 2682716 3449728 4024074 5174592 5365432 6899456 8048148 10349184 10730864 16096296 16628767 20698368 21461728 29295737 32192592 33257534 42923456 49886301 58591474 64385184 66515068 85846912 87887211 99772602 117182948 128770368 133030136 171693824 175774422 199545204 234365896 257540736 266060272 351548844 399090408 468731792 515081472 532120544 703097688 798180816 937463584 1064241088 1406195376 1596361632 1874927168 2128482176 2812390752 3192723264 3749854336 4256964352 5624781504 6385446528 7499708672 11249563008 12770893056 18075469729 22499126016 36150939458 54226409187 72301878916 108452818374 144603757832 216905636748 289207515664 433811273496 578415031328 867622546992 1156830062656 1735245093984 2313660125312 3470490187968 4627320250624 6940980375936 13881960751872