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25649978940 = 22335307154723
BaseRepresentation
bin10111111000110110…
…111001111000111100
32110012120221221022000
4113320312321320330
5410012343311230
615441120022300
71565426136465
oct277066717074
973176857260
1025649978940
11a972820903
124b7a161990
13255a0b0a41
14135481dd6c
15a01cb3b60
hex5f8db9e3c

25649978940 has 96 divisors (see below), whose sum is σ = 80060386560. Its totient is φ = 6817670208.

The previous prime is 25649978897. The next prime is 25649979007. The reversal of 25649978940 is 4987994652.

25649978940 is a `hidden beast` number, since 2 + 56 + 499 + 7 + 8 + 94 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88419 + ... + 243141.

It is an arithmetic number, because the mean of its divisors is an integer number (833962360).

Almost surely, 225649978940 is an apocalyptic number.

25649978940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25649978940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030193280).

25649978940 is an abundant number, since it is smaller than the sum of its proper divisors (54410407620).

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

25649978940 is a wasteful number, since it uses less digits than its factorization.

25649978940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155048 (or 155040 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 25649978940 in words is "twenty-five billion, six hundred forty-nine million, nine hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 307 540 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 8289 9210 11052 13815 16578 18420 27630 33156 41445 55260 82890 154723 165780 309446 464169 618892 773615 928338 1392507 1547230 1856676 2320845 2785014 3094460 4177521 4641690 5570028 6962535 8355042 9283380 13925070 16710084 20887605 27850140 41775210 47499961 83550420 94999922 142499883 189999844 237499805 284999766 427499649 474999610 569999532 712499415 854999298 949999220 1282498947 1424998830 1709998596 2137498245 2564997894 2849997660 4274996490 5129995788 6412494735 8549992980 12824989470 25649978940