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25673011984 = 244129772
BaseRepresentation
bin10111111010001110…
…110001001100010000
32110021012022010200201
4113322032301030100
5410034242340414
615443301424544
71566126000304
oct277216611420
973235263621
1025673011984
11a984822984
124b85a0b154
132561ab6869
1413578d7d04
15a03d13574
hex5fa3b1310

25673011984 has 45 divisors (see below), whose sum is σ = 51036495391. Its totient is φ = 12510602240.

The previous prime is 25673011981. The next prime is 25673012003. The reversal of 25673011984 is 48911037652.

The square root of 25673011984 is 160228.

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 32035600 + 25640976384 = 5660^2 + 160128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25673011981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26276904 + ... + 26277880.

It is a 1-persistent number, because it is pandigital, but 2⋅25673011984 = 51346023968 is not.

Almost surely, 225673011984 is an apocalyptic number.

25673011984 is the 160228-th square number.

It is an amenable number.

25673011984 is a deficient number, since it is larger than the sum of its proper divisors (25363483407).

25673011984 is an frugal number, since it uses more digits than its factorization.

25673011984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 25673011984 in words is "twenty-five billion, six hundred seventy-three million, eleven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 41 82 164 328 656 977 1681 1954 3362 3908 6724 7816 13448 15632 26896 40057 80114 160228 320456 640912 954529 1642337 1909058 3284674 3818116 6569348 7636232 13138696 15272464 26277392 39135689 78271378 156542756 313085512 626171024 1604563249 3209126498 6418252996 12836505992 25673011984