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83676459493560 = 233553106911230631
BaseRepresentation
bin10011000001101001110001…
…101001001110100010111000
3101222021101120100000001210010
4103001221301221032202320
541431423342112243220
6453544233530421520
723424265446160023
oct2301516151164270
9358241510001703
1083676459493560
1124730a94a4160a
129475084b918a0
13378c86baa48ab
141693d685a61ba
159a193b75a1e0
hex4c1a71a4e8b8

83676459493560 has 128 divisors (see below), whose sum is σ = 255789913167360. Its totient is φ = 21890643340800.

The previous prime is 83676459493553. The next prime is 83676459493631. The reversal of 83676459493560 is 6539495467638.

It is a congruent number.

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, 67379445 + ... + 68610075.

It is an arithmetic number, because the mean of its divisors is an integer number (1998358696620).

Almost surely, 283676459493560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83676459493560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127894956583680).

83676459493560 is an abundant number, since it is smaller than the sum of its proper divisors (172113453673800).

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

83676459493560 is a wasteful number, since it uses less digits than its factorization.

83676459493560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241389 (or 1241385 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 75.

The spelling of 83676459493560 in words is "eighty-three trillion, six hundred seventy-six billion, four hundred fifty-nine million, four hundred ninety-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 10691 21382 32073 42764 53455 64146 85528 106910 128292 160365 213820 256584 320730 427640 566623 641460 1133246 1230631 1282920 1699869 2266492 2461262 2833115 3399738 3691893 4532984 4922524 5666230 6153155 6799476 7383786 8499345 9845048 11332460 12306310 13598952 14767572 16998690 18459465 22664920 24612620 29535144 33997380 36918930 49225240 65223443 67994760 73837860 130446886 147675720 195670329 260893772 326117215 391340658 521787544 652234430 782681316 978351645 1304468860 1565362632 1956703290 2608937720 3913406580 7826813160 13156676021 26313352042 39470028063 52626704084 65783380105 78940056126 105253408168 131566760210 157880112252 197350140315 263133520420 315760224504 394700280630 526267040840 697303829113 789400561260 1394607658226 1578801122520 2091911487339 2789215316452 3486519145565 4183822974678 5578430632904 6973038291130 8367645949356 10459557436695 13946076582260 16735291898712 20919114873390 27892153164520 41838229746780 83676459493560