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25240400256 = 273607108287
BaseRepresentation
bin10111100000011100…
…011111000110000000
32102011001021011222010
4113200130133012000
5403143020302011
615332325212520
71552323601521
oct274034370600
972131234863
1025240400256
11a782603325
124a84b61140
1324c32975a6
141316284848
159cad5c1a6
hex5e071f180

25240400256 has 64 divisors (see below), whose sum is σ = 67155886080. Its totient is φ = 8399528448.

The previous prime is 25240400239. The next prime is 25240400257. The reversal of 25240400256 is 65200404252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25240400257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178945 + ... + 287231.

It is an arithmetic number, because the mean of its divisors is an integer number (1049310720).

Almost surely, 225240400256 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 25240400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33577943040).

25240400256 is an abundant number, since it is smaller than the sum of its proper divisors (41915485824).

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

25240400256 is a wasteful number, since it uses less digits than its factorization.

25240400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108911 (or 108899 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 25240400256 in words is "twenty-five billion, two hundred forty million, four hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 607 1214 1821 2428 3642 4856 7284 9712 14568 19424 29136 38848 58272 77696 108287 116544 216574 233088 324861 433148 649722 866296 1299444 1732592 2598888 3465184 5197776 6930368 10395552 13860736 20791104 41582208 65730209 131460418 197190627 262920836 394381254 525841672 788762508 1051683344 1577525016 2103366688 3155050032 4206733376 6310100064 8413466752 12620200128 25240400256