Search a number
-
+
9968922873 = 3271327314457
BaseRepresentation
bin10010100100011000…
…11011000011111001
3221201202021202022200
421102030123003321
5130404021012443
64325112340413
7502016306040
oct112214330371
927652252280
109968922873
114256219338
121b226a4709
13c2b429140
146a7d93557
153d52bedd3
hex25231b0f9

9968922873 has 48 divisors (see below), whose sum is σ = 17732996736. Its totient is φ = 5255228160.

The previous prime is 9968922833. The next prime is 9968922911. The reversal of 9968922873 is 3782298699.

It is not a de Polignac number, because 9968922873 - 26 = 9968922809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9968922873.

It is not an unprimeable number, because it can be changed into a prime (9968922833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2234461 + ... + 2238917.

It is an arithmetic number, because the mean of its divisors is an integer number (369437432).

Almost surely, 29968922873 is an apocalyptic number.

It is an amenable number.

9968922873 is a deficient number, since it is larger than the sum of its proper divisors (7764073863).

9968922873 is a wasteful number, since it uses less digits than its factorization.

9968922873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7214 (or 7211 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 9968922873 is about 99844.4934535701. The cubic root of 9968922873 is about 2152.2005860976.

The spelling of 9968922873 in words is "nine billion, nine hundred sixty-eight million, nine hundred twenty-two thousand, eight hundred seventy-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2731 4457 8193 13371 19117 24579 31199 35503 40113 57351 57941 93597 106509 172053 173823 248521 280791 319527 405587 521469 745563 1216761 2236689 3650283 12172067 36516201 85204469 109548603 158236871 255613407 474710613 766840221 1107658097 1424131839 3322974291 9968922873