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268472019900 = 223527721117729
BaseRepresentation
bin1111101000001000101…
…1011110101110111100
3221122222021110200201110
43322002023132232330
513344312314114100
6323200115042020
725252662342120
oct3720213365674
9848867420643
10268472019900
11a39495021a7
12440468a0310
131c417028a96
14cdcbbcd580
156eb4860250
hex3e822debbc

268472019900 has 144 divisors (see below), whose sum is σ = 887920669440. Its totient is φ = 61353062400.

The previous prime is 268472019899. The next prime is 268472019917. The reversal of 268472019900 is 9910274862.

It is a self number, because there is not a number n which added to its sum of digits gives 268472019900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15134236 + ... + 15151964.

It is an arithmetic number, because the mean of its divisors is an integer number (6166115760).

Almost surely, 2268472019900 is an apocalyptic number.

268472019900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268472019900 is an abundant number, since it is smaller than the sum of its proper divisors (619448649540).

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

268472019900 is a wasteful number, since it uses less digits than its factorization.

268472019900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24964 (or 24957 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 268472019900 in words is "two hundred sixty-eight billion, four hundred seventy-two million, nineteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 7211 14422 17729 21633 28844 35458 36055 43266 50477 53187 70916 72110 86532 88645 100954 106374 108165 124103 144220 151431 177290 180275 201908 212748 216330 248206 252385 265935 302862 354580 360550 372309 432660 443225 496412 504770 531870 540825 605724 620515 721100 744618 757155 886450 1009540 1063740 1081650 1241030 1261925 1329675 1489236 1514310 1772900 1861545 2163300 2482060 2523850 2659350 3028620 3102575 3723090 3785775 5047700 5318700 6205150 7446180 7571550 9307725 12410300 15143100 18615450 37230900 127843819 255687638 383531457 511375276 639219095 767062914 894906733 1278438190 1534125828 1789813466 1917657285 2556876380 2684720199 3196095475 3579626932 3835314570 4474533665 5369440398 6392190950 7670629140 8949067330 9588286425 10738880796 12784381900 13423600995 17898134660 19176572850 22372668325 26847201990 38353145700 44745336650 53694403980 67118004975 89490673300 134236009950 268472019900