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189131257965 = 35131983615031
BaseRepresentation
bin1011000000100100011…
…0011111100001101101
3200002011212211101100010
42300021012133201231
511044320100223330
6222515151123433
716443564111306
oct2601106374155
9602155741303
10189131257965
1173234734471
12307a3813579
1314ab1660a80
14922281b7ad
154dbe1b13b0
hex2c0919f86d

189131257965 has 64 divisors (see below), whose sum is σ = 347173263360. Its totient is φ = 87147290880.

The previous prime is 189131257907. The next prime is 189131258009. The reversal of 189131257965 is 569752131981.

189131257965 is a nontrivial binomial coefficient, being equal to C(615031, 2).

It is not a de Polignac number, because 189131257965 - 26 = 189131257901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1 + ... + 615030.

It is an arithmetic number, because the mean of its divisors is an integer number (5424582240).

Almost surely, 2189131257965 is an apocalyptic number.

189131257965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189131257965 is the 615030-th triangular number.

It is an amenable number.

189131257965 is a deficient number, since it is larger than the sum of its proper divisors (158042005395).

189131257965 is a wasteful number, since it uses less digits than its factorization.

189131257965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615154.

The product of its digits is 4082400, while the sum is 57.

The spelling of 189131257965 in words is "one hundred eighty-nine billion, one hundred thirty-one million, two hundred fifty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 19 39 57 65 83 95 195 247 249 285 415 741 1079 1235 1245 1577 3237 3705 4731 5395 7885 16185 20501 23655 61503 102505 307515 615031 1845093 3075155 7995403 9225465 11685589 23986209 35056767 39977015 51047573 58427945 119931045 151912657 153142719 175283835 255237865 455737971 663618449 759563285 765713595 969903887 1990855347 2278689855 2909711661 3318092245 4849519435 9954276735 12608750531 14548558305 37826251593 63043752655 189131257965