Search a number
-
+
65807699040 = 25325172688223
BaseRepresentation
bin111101010010011100…
…011100110001100000
320021212020210111002200
4331102130130301200
52034233232332130
650122011213200
74516530132606
oct752234346140
9207766714080
1065807699040
11259aa804336
1210906a47200
136289a360b5
143283d25876
151aa2552760
hexf5271cc60

65807699040 has 144 divisors (see below), whose sum is σ = 237778789248. Its totient is φ = 16516435968.

The previous prime is 65807698993. The next prime is 65807699051. The reversal of 65807699040 is 4099670856.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319632 + ... + 1368591.

It is an arithmetic number, because the mean of its divisors is an integer number (1651241592).

Almost surely, 265807699040 is an apocalyptic number.

65807699040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

65807699040 is an abundant number, since it is smaller than the sum of its proper divisors (171971090208).

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

65807699040 is a wasteful number, since it uses less digits than its factorization.

65807699040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688261 (or 2688250 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 65807699040 in words is "sixty-five billion, eight hundred seven million, six hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 2688223 5376446 8064669 10752892 13441115 16129338 21505784 24194007 26882230 32258676 40323345 43011568 45699791 48388014 53764460 64517352 80646690 86023136 91399582 96776028 107528920 120970035 129034704 137099373 161293380 182799164 193552056 215057840 228498955 241940070 258069408 274198746 322586760 365598328 387104112 411298119 430115680 456997910 483880140 548397492 645173520 685496865 731196656 774208224 822596238 913995820 967760280 1096794984 1290347040 1370993730 1462393312 1645192476 1827991640 1935520560 2056490595 2193589968 2741987460 3290384952 3655983280 3871041120 4112981190 4387179936 5483974920 6580769904 7311966560 8225962380 10967949840 13161539808 16451924760 21935899680 32903849520 65807699040