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25424092992 = 263312137791
BaseRepresentation
bin10111101011011001…
…001101111101000000
32102121211220202000210
4113223121031331000
5404032031433432
615402450314120
71560014140044
oct275331157500
972554822023
1025424092992
11a867268401
124b16588940
13252236220c
141332820024
159dc0448cc
hex5eb64df40

25424092992 has 84 divisors (see below), whose sum is σ = 69508347648. Its totient is φ = 8201260800.

The previous prime is 25424092963. The next prime is 25424092997. The reversal of 25424092992 is 29929042452.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25424092997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115617 + ... + 253407.

Almost surely, 225424092992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25424092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34754173824).

25424092992 is an abundant number, since it is smaller than the sum of its proper divisors (44084254656).

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

25424092992 is a wasteful number, since it uses less digits than its factorization.

25424092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137868 (or 137827 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 25424092992 in words is "twenty-five billion, four hundred twenty-four million, ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 961 992 1488 1922 1984 2883 2976 3844 5766 5952 7688 11532 15376 23064 30752 46128 61504 92256 137791 184512 275582 413373 551164 826746 1102328 1653492 2204656 3306984 4271521 4409312 6613968 8543042 8818624 12814563 13227936 17086084 25629126 26455872 34172168 51258252 68344336 102516504 132417151 136688672 205033008 264834302 273377344 397251453 410066016 529668604 794502906 820132032 1059337208 1589005812 2118674416 3178011624 4237348832 6356023248 8474697664 12712046496 25424092992