Search a number
-
+
214058893536 = 2533271914219
BaseRepresentation
bin1100011101011011100…
…1111000000011100000
3202110112010120110211000
43013112321320003200
512001343034043121
6242200504552000
721315402400545
oct3072671700340
9673463513730
10214058893536
1182866734a84
123559ba82600
1317254bab4a7
14a509328bcc
15587c83c526
hex31d6e780e0

214058893536 has 96 divisors (see below), whose sum is σ = 626642956800. Its totient is φ = 71089591680.

The previous prime is 214058893511. The next prime is 214058893561. The reversal of 214058893536 is 635398850412.

214058893536 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 588 + 9 + 3 + 53 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (214058893511) and next prime (214058893561).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222966 + ... + 691253.

It is an arithmetic number, because the mean of its divisors is an integer number (6527530800).

Almost surely, 2214058893536 is an apocalyptic number.

It is an amenable number.

214058893536 is an abundant number, since it is smaller than the sum of its proper divisors (412584063264).

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

214058893536 is a wasteful number, since it uses less digits than its factorization.

214058893536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914509 (or 914495 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 214058893536 in words is "two hundred fourteen billion, fifty-eight million, eight hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 271 288 432 542 813 864 1084 1626 2168 2439 3252 4336 4878 6504 7317 8672 9756 13008 14634 19512 26016 29268 39024 58536 78048 117072 234144 914219 1828438 2742657 3656876 5485314 7313752 8227971 10970628 14627504 16455942 21941256 24683913 29255008 32911884 43882512 49367826 65823768 87765024 98735652 131647536 197471304 247753349 263295072 394942608 495506698 743260047 789885216 991013396 1486520094 1982026792 2229780141 2973040188 3964053584 4459560282 5946080376 6689340423 7928107168 8919120564 11892160752 13378680846 17838241128 23784321504 26757361692 35676482256 53514723384 71352964512 107029446768 214058893536