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68985386424720 = 24325124433769997
BaseRepresentation
bin11111010111101111010010…
…11100111101100110010000
3100001020221100012011210200200
433223313221130331212100
533020224032411042340
6402415240553215200
720350013120366163
oct1753675134754620
9301227305153620
1068985386424720
111aa875a1211897
1278a19b6401500
132c653a8c8c6cc
141306ca6667ada
157e970534b330
hex3ebde973d990

68985386424720 has 120 divisors (see below), whose sum is σ = 231678085477176. Its totient is φ = 18395931316224.

The previous prime is 68985386424709. The next prime is 68985386424733. The reversal of 68985386424720 is 2742468358986.

68985386424720 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 53 + 86 + 424 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35192278206864 + 33793108217856 = 5932308^2 + 5813184^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 89206762 + ... + 89976758.

Almost surely, 268985386424720 is an apocalyptic number.

68985386424720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68985386424720 is an abundant number, since it is smaller than the sum of its proper divisors (162692699052456).

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

68985386424720 is a wasteful number, since it uses less digits than its factorization.

68985386424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894449 (or 894440 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 68985386424720 in words is "sixty-eight trillion, nine hundred eighty-five billion, three hundred eighty-six million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 124433 248866 373299 497732 622165 746598 769997 995464 1119897 1244330 1493196 1539994 1866495 1990928 2239794 2309991 2488660 2986392 3079988 3732990 3849985 4479588 4619982 4977320 5599485 5972784 6159976 6929973 7465980 7699970 8959176 9239964 9954640 11198970 11549955 12319952 13859946 14931960 15399940 17918352 18479928 22397940 23099910 27719892 29863920 30799880 34649865 36959856 44795880 46199820 55439784 61599760 69299730 89591760 92399640 110879568 138599460 184799280 277198920 554397840 95813036701 191626073402 287439110103 383252146804 479065183505 574878220206 766504293608 862317330309 958130367010 1149756440412 1437195550515 1533008587216 1724634660618 1916260734020 2299512880824 2874391101030 3449269321236 3832521468040 4311586651545 4599025761648 5748782202060 6898538642472 7665042936080 8623173303090 11497564404120 13797077284944 17246346606180 22995128808240 34492693212360 68985386424720