Search a number
-
+
92131000653 = 32931612272467
BaseRepresentation
bin101010111001101101…
…1111000000101001101
322210210202201202110110
41111303123320011031
53002141014010103
6110154023030233
76441043404306
oct1256333700515
9283722652413
1092131000653
113608860345a
1215a3259b379
1388c3475703
14465dd377ad
1525e34b9403
hex15736f814d

92131000653 has 64 divisors (see below), whose sum is σ = 133968568320. Its totient is φ = 56177452800.

The previous prime is 92131000649. The next prime is 92131000667. The reversal of 92131000653 is 35600013129.

92131000653 is a nontrivial binomial coefficient, being equal to C(429258, 2).

It is not a de Polignac number, because 92131000653 - 22 = 92131000649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 92131000653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92131000613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37344126 + ... + 37346592.

It is an arithmetic number, because the mean of its divisors is an integer number (2093258880).

Almost surely, 292131000653 is an apocalyptic number.

92131000653 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

92131000653 is the 429257-th triangular number and also the 214629-th hexagonal number.

It is an amenable number.

92131000653 is a deficient number, since it is larger than the sum of its proper divisors (41837567667).

92131000653 is a wasteful number, since it uses less digits than its factorization.

92131000653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818.

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 92131000653 in words is "ninety-two billion, one hundred thirty-one million, six hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 29 31 61 87 93 183 227 681 899 1769 1891 2467 2697 5307 5673 6583 7037 7401 13847 19749 21111 41541 54839 71543 76477 150487 164517 204073 214629 229431 401563 429257 451461 560009 612219 1204689 1287771 1680027 2217833 4364123 4665097 6653499 12448453 13092369 13995291 16240261 17360279 34160549 37345359 48720783 52080837 102481647 135287813 405863439 503448091 990655921 1058977019 1510344273 2971967763 3176931057 30710333551 92131000653