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214640857760 = 2557593248197
BaseRepresentation
bin1100011111100110010…
…1111001001010100000
3202112000200122022122112
43013321211321022200
512004041024422020
6242334334254452
721336000121340
oct3077145711240
9675020568575
10214640857760
118303519434a
1235722957428
1317318630a14
14a562738d20
1558b39962c5
hex31f99792a0

214640857760 has 96 divisors (see below), whose sum is σ = 589353045120. Its totient is φ = 72343821312.

The previous prime is 214640857741. The next prime is 214640857763. The reversal of 214640857760 is 67758046412.

214640857760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214640857699 and 214640857708.

It is not an unprimeable number, because it can be changed into a prime (214640857763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558019 + ... + 1690178.

It is an arithmetic number, because the mean of its divisors is an integer number (6139094220).

Almost surely, 2214640857760 is an apocalyptic number.

214640857760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214640857760 is an abundant number, since it is smaller than the sum of its proper divisors (374712187360).

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

214640857760 is a wasteful number, since it uses less digits than its factorization.

214640857760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248278 (or 3248270 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 214640857760 in words is "two hundred fourteen billion, six hundred forty million, eight hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 4130 4720 6608 8260 9440 13216 16520 33040 66080 3248197 6496394 12992788 16240985 22737379 25985576 32481970 45474758 51971152 64963940 90949516 103942304 113686895 129927880 181899032 191643623 227373790 259855760 363798064 383287246 454747580 519711520 727596128 766574492 909495160 958218115 1341505361 1533148984 1818990320 1916436230 2683010722 3066297968 3637980640 3832872460 5366021444 6132595936 6707526805 7665744920 10732042888 13415053610 15331489840 21464085776 26830107220 30662979680 42928171552 53660214440 107320428880 214640857760