Search a number
-
+
10125963792 = 243373348533
BaseRepresentation
bin10010110111000110…
…11111001000010000
3222010200210020222000
421123203133020100
5131214221320132
64352442314000
7505634162220
oct113343371020
928120706860
1010125963792
11432692a51a
121b671b8900
13c54b21a69
146c0b92080
153e3e9087c
hex25b8df210

10125963792 has 80 divisors (see below), whose sum is σ = 33217457280. Its totient is φ = 2893131648.

The previous prime is 10125963781. The next prime is 10125963811. The reversal of 10125963792 is 29736952101.

It is a happy number.

10125963792 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 9 + 637 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671243 + ... + 1677290.

It is an arithmetic number, because the mean of its divisors is an integer number (415218216).

Almost surely, 210125963792 is an apocalyptic number.

10125963792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10125963792 is an abundant number, since it is smaller than the sum of its proper divisors (23091493488).

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

10125963792 is a wasteful number, since it uses less digits than its factorization.

10125963792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348557 (or 3348545 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10125963792 in words is "ten billion, one hundred twenty-five million, nine hundred sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 3348533 6697066 10045599 13394132 20091198 23439731 26788264 30136797 40182396 46879462 53576528 60273594 70319193 80364792 90410391 93758924 120547188 140638386 160729584 180820782 187517848 210957579 241094376 281276772 361641564 375035696 421915158 482188752 562553544 632872737 723283128 843830316 1125107088 1265745474 1446566256 1687660632 2531490948 3375321264 5062981896 10125963792