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25960696416 = 2532803911213
BaseRepresentation
bin11000001011011000…
…001100101001100000
32111000020122000112200
4120023120030221200
5411131414241131
615532015453200
71606221164364
oct301330145140
974006560480
1025960696416
1110012155506
125046227200
1325a9591b35
141383bc32a4
15a1e1dd2e6
hex60b60ca60

25960696416 has 72 divisors (see below), whose sum is σ = 73841498640. Its totient is φ = 8651717376.

The previous prime is 25960696373. The next prime is 25960696423. The reversal of 25960696416 is 61469606952.

25960696416 is a `hidden beast` number, since 2 + 596 + 0 + 6 + 9 + 6 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2309626 + ... + 2320838.

It is an arithmetic number, because the mean of its divisors is an integer number (1025576370).

Almost surely, 225960696416 is an apocalyptic number.

It is an amenable number.

25960696416 is an abundant number, since it is smaller than the sum of its proper divisors (47880802224).

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

25960696416 is a wasteful number, since it uses less digits than its factorization.

25960696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19268 (or 19257 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 25960696416 in words is "twenty-five billion, nine hundred sixty million, six hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8039 11213 16078 22426 24117 32156 33639 44852 48234 64312 67278 72351 89704 96468 100917 128624 134556 144702 179408 192936 201834 257248 269112 289404 358816 385872 403668 538224 578808 771744 807336 1076448 1157616 1614672 2315232 3229344 90141307 180282614 270423921 360565228 540847842 721130456 811271763 1081695684 1442260912 1622543526 2163391368 2884521824 3245087052 4326782736 6490174104 8653565472 12980348208 25960696416