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68435479200 = 25352112592253
BaseRepresentation
bin111111101111000100…
…101000101010100000
320112122101102112210210
4333233010220222200
52110123440313300
651234441454120
74641615655344
oct775704505240
9215571375723
1068435479200
1127029053480
121131aaa1340
1365b82847ba
143452d19624
151ba80be050
hexfef128aa0

68435479200 has 144 divisors (see below), whose sum is σ = 243008258976. Its totient is φ = 16590412800.

The previous prime is 68435479187. The next prime is 68435479223. The reversal of 68435479200 is 297453486.

68435479200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68435479200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269727 + ... + 1322526.

It is an arithmetic number, because the mean of its divisors is an integer number (1687557354).

Almost surely, 268435479200 is an apocalyptic number.

68435479200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68435479200 is an abundant number, since it is smaller than the sum of its proper divisors (174572779776).

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

68435479200 is a wasteful number, since it uses less digits than its factorization.

68435479200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592287 (or 2592274 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 68435479200 in words is "sixty-eight billion, four hundred thirty-five million, four hundred seventy-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 66 75 80 88 96 100 110 120 132 150 160 165 176 200 220 240 264 275 300 330 352 400 440 480 528 550 600 660 800 825 880 1056 1100 1200 1320 1650 1760 2200 2400 2640 3300 4400 5280 6600 8800 13200 26400 2592253 5184506 7776759 10369012 12961265 15553518 20738024 25922530 28514783 31107036 38883795 41476048 51845060 57029566 62214072 64806325 77767590 82952096 85544349 103690120 114059132 124428144 129612650 142573915 155535180 171088698 194418975 207380240 228118264 248856288 259225300 285147830 311070360 342177396 388837950 414760480 427721745 456236528 518450600 570295660 622140720 684354792 712869575 777675900 855443490 912473056 1036901200 1140591320 1244281440 1368709584 1425739150 1555351800 1710886980 2073802400 2138608725 2281182640 2737419168 2851478300 3110703600 3421773960 4277217450 4562365280 5702956600 6221407200 6843547920 8554434900 11405913200 13687095840 17108869800 22811826400 34217739600 68435479200