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25620484096 = 212412612
BaseRepresentation
bin10111110111000110…
…011001000000000000
32110010112110102222101
4113313012121000000
5404432320442341
615434143520144
71564620343624
oct276706310000
973115412871
1025620484096
11a9581059a9
124b702b9054
132553c5497c
141350943184
159ee3d9831
hex5f7199000

25620484096 has 117 divisors (see below), whose sum is σ = 53389830819. Its totient is φ = 12292915200.

The previous prime is 25620484079. The next prime is 25620484111. The reversal of 25620484096 is 69048402652.

The square root of 25620484096 is 160064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21686685696 + 3933798400 = 147264^2 + 62720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 420007906 + ... + 420007966.

Almost surely, 225620484096 is an apocalyptic number.

25620484096 is the 160064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25620484096

25620484096 is an abundant number, since it is smaller than the sum of its proper divisors (27769346723).

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

25620484096 is an frugal number, since it uses more digits than its factorization.

25620484096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 25620484096 in words is "twenty-five billion, six hundred twenty million, four hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 128 164 244 256 328 488 512 656 976 1024 1312 1681 1952 2048 2501 2624 3362 3721 3904 4096 5002 5248 6724 7442 7808 10004 10496 13448 14884 15616 20008 20992 26896 29768 31232 40016 41984 53792 59536 62464 80032 83968 102541 107584 119072 124928 152561 160064 167936 205082 215168 238144 249856 305122 320128 410164 430336 476288 610244 640256 820328 860672 952576 1220488 1280512 1640656 1721344 1905152 2440976 2561024 3281312 3442688 3810304 4881952 5122048 6255001 6562624 6885376 7620608 9763904 10244096 12510002 13125248 15241216 19527808 25020004 26250496 39055616 50040008 52500992 78111232 100080016 105001984 156222464 200160032 210003968 312444928 400320064 420007936 624889856 800640128 1601280256 3202560512 6405121024 12810242048 25620484096