Search a number
-
+
10424521656 = 23322329217069
BaseRepresentation
bin10011011010101100…
…11001001110111000
3222220111120120100200
421231112121032320
5132322134143111
64442225402200
7516220654263
oct115526311670
928814516320
1010424521656
11446a40945a
12202b199360
13ca1936313
1470c6abcda
154102b7256
hex26d5993b8

10424521656 has 96 divisors (see below), whose sum is σ = 30476628000. Its totient is φ = 3209133312.

The previous prime is 10424521643. The next prime is 10424521661. The reversal of 10424521656 is 65612542401.

10424521656 is a `hidden beast` number, since 1 + 0 + 42 + 452 + 165 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10424521656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60511 + ... + 156558.

It is an arithmetic number, because the mean of its divisors is an integer number (317464875).

Almost surely, 210424521656 is an apocalyptic number.

It is an amenable number.

10424521656 is an abundant number, since it is smaller than the sum of its proper divisors (20052106344).

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

10424521656 is a wasteful number, since it uses less digits than its factorization.

10424521656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217133 (or 217126 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10424521656 in words is "ten billion, four hundred twenty-four million, five hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 46 58 69 72 87 92 116 138 174 184 207 232 261 276 348 414 522 552 667 696 828 1044 1334 1656 2001 2088 2668 4002 5336 6003 8004 12006 16008 24012 48024 217069 434138 651207 868276 1302414 1736552 1953621 2604828 3907242 4992587 5209656 6295001 7814484 9985174 12590002 14977761 15628968 18885003 19970348 25180004 29955522 37770006 39940696 44933283 50360008 56655009 59911044 75540012 89866566 113310018 119822088 144785023 151080024 179733132 226620036 289570046 359466264 434355069 453240072 579140092 868710138 1158280184 1303065207 1737420276 2606130414 3474840552 5212260828 10424521656