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100421745731760 = 24355653602912277
BaseRepresentation
bin10110110101010101000010…
…011110110110100010110000
3111011120020002010022112022010
4112311111002132312202300
5101130302213401404020
6553325040233242520
730103142321542155
oct2665250236664260
9434506063275263
10100421745731760
1129aa7694526712
12b31a4a7563440
134405964a2ab8b
141ab261d08822c
15b9230031cde0
hex5b55427b68b0

100421745731760 has 160 divisors (see below), whose sum is σ = 311439490971840. Its totient is φ = 26767773609984.

The previous prime is 100421745731759. The next prime is 100421745731807. The reversal of 100421745731760 is 67137547124001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8179658742 + ... + 8179671018.

It is an arithmetic number, because the mean of its divisors is an integer number (1946496818574).

Almost surely, 2100421745731760 is an apocalyptic number.

100421745731760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100421745731760 is an abundant number, since it is smaller than the sum of its proper divisors (211017745240080).

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

100421745731760 is a wasteful number, since it uses less digits than its factorization.

100421745731760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23975 (or 23969 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 100421745731760 in words is "one hundred trillion, four hundred twenty-one billion, seven hundred forty-five million, seven hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5653 6029 11306 12058 12277 16959 18087 22612 24116 24554 28265 30145 33918 36174 36831 45224 48232 49108 56530 60290 61385 67836 72348 73662 84795 90435 90448 96464 98216 113060 120580 122770 135672 144696 147324 169590 180870 184155 196432 226120 241160 245540 271344 289392 294648 339180 361740 368310 452240 482320 491080 589296 678360 723480 736620 982160 1356720 1446960 1473240 2946480 34081937 68163874 69401881 74018033 102245811 136327748 138803762 148036066 170409685 204491622 208205643 222054099 272655496 277607524 296072132 340819370 347009405 370090165 408983244 416411286 444108198 511229055 545310992 555215048 592144264 681638740 694018810 740180330 817966488 832822572 888216396 1022458110 1041028215 1110270495 1110430096 1184288528 1363277480 1388037620 1480360660 1635932976 1665645144 1776432792 2044916220 2082056430 2220540990 2726554960 2776075240 2960721320 3331290288 3552865584 4089832440 4164112860 4441081980 5552150480 5921442640 8179664880 8328225720 8882163960 16656451440 17764327920 418423940549 836847881098 1255271821647 1673695762196 2092119702745 2510543643294 3347391524392 4184239405490 5021087286588 6276359108235 6694783048784 8368478810980 10042174573176 12552718216470 16736957621960 20084349146352 25105436432940 33473915243920 50210872865880 100421745731760