Search a number
-
+
10450968192 = 27337432001
BaseRepresentation
bin10011011101110110…
…10001111010000000
3222222100100012012000
421232323101322000
5132400421440232
64445012304000
7516661523010
oct115673217200
928870305160
1010450968192
1144833320a5
122038012000
13ca7265a62
14711dd3c40
1541278d27c
hex26eed1e80

10450968192 has 128 divisors (see below), whose sum is σ = 35251363200. Its totient is φ = 2985984000.

The previous prime is 10450968097. The next prime is 10450968301. The reversal of 10450968192 is 29186905401.

10450968192 is a `hidden beast` number, since 1 + 0 + 450 + 9 + 6 + 8 + 192 = 666.

10450968192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191809 + ... + 240192.

It is an arithmetic number, because the mean of its divisors is an integer number (275401275).

Almost surely, 210450968192 is an apocalyptic number.

10450968192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10450968192 is an abundant number, since it is smaller than the sum of its proper divisors (24800395008).

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

10450968192 is an equidigital number, since it uses as much as digits as its factorization.

10450968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432031 (or 432013 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10450968192 in words is "ten billion, four hundred fifty million, nine hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 432001 864002 1296003 1728004 2592006 3024007 3456008 3888009 5184012 6048014 6912016 7776018 9072021 10368024 11664027 12096028 13824032 15552036 18144042 20736048 23328054 24192056 27216063 27648064 31104072 36288084 41472096 46656108 48384112 54432126 55296128 62208144 72576168 81648189 82944192 93312216 96768224 108864252 124416288 145152336 163296378 165888384 186624432 193536448 217728504 248832576 290304672 326592756 373248864 387072896 435457008 497665152 580609344 653185512 746497728 870914016 1161218688 1306371024 1492995456 1741828032 2612742048 3483656064 5225484096 10450968192