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100157551680 = 2635234536121
BaseRepresentation
bin101110101000111011…
…0101111010001000000
3100120112011002210112010
41131101312233101000
53120110313123210
6114002311532520
710143666066564
oct1352166572100
9316464083463
10100157551680
1139527365aaa
12174b268a140
1395a23539a4
144bc1d536a4
152912eab920
hex1751daf440

100157551680 has 112 divisors (see below), whose sum is σ = 331826396544. Its totient is φ = 25547427840.

The previous prime is 100157551651. The next prime is 100157551699. The reversal of 100157551680 is 86155751001.

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, 2245981 + ... + 2290140.

Almost surely, 2100157551680 is an apocalyptic number.

100157551680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100157551680 is an abundant number, since it is smaller than the sum of its proper divisors (231668844864).

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

100157551680 is a wasteful number, since it uses less digits than its factorization.

100157551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536164 (or 4536154 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 39.

The spelling of 100157551680 in words is "one hundred billion, one hundred fifty-seven million, five hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4416 5520 7360 11040 22080 4536121 9072242 13608363 18144484 22680605 27216726 36288968 45361210 54433452 68041815 72577936 90722420 104330783 108866904 136083630 145155872 181444840 208661566 217733808 272167260 290311744 312992349 362889680 417323132 435467616 521653915 544334520 625984698 725779360 834646264 870935232 1043307830 1088669040 1251969396 1451558720 1564961745 1669292528 2086615660 2177338080 2503938792 3129923490 3338585056 4173231320 4354676160 5007877584 6259846980 6677170112 8346462640 10015755168 12519693960 16692925280 20031510336 25039387920 33385850560 50078775840 100157551680