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25673865216 = 211319219931
BaseRepresentation
bin10111111010010010…
…000001100000000000
32110021020220111002220
4113322102001200000
5410040002141331
615443332011040
71566136152666
oct277222014000
973236814086
1025673865216
11a985255a2a
124b86160a80
13256202502c
141357a7ac36
15a03e31296
hex5fa481800

25673865216 has 96 divisors (see below), whose sum is σ = 72049723200. Its totient is φ = 8107499520.

The previous prime is 25673865209. The next prime is 25673865229. The reversal of 25673865216 is 61256837652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6771 + ... + 226701.

It is an arithmetic number, because the mean of its divisors is an integer number (750517950).

Almost surely, 225673865216 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 25673865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36024861600).

25673865216 is an abundant number, since it is smaller than the sum of its proper divisors (46375857984).

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

25673865216 is a wasteful number, since it uses less digits than its factorization.

25673865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219975 (or 219955 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 25673865216 in words is "twenty-five billion, six hundred seventy-three million, eight hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4864 6144 7296 9728 14592 19456 29184 38912 58368 116736 219931 439862 659793 879724 1319586 1759448 2639172 3518896 4178689 5278344 7037792 8357378 10556688 12536067 14075584 16714756 21113376 25072134 28151168 33429512 42226752 50144268 56302336 66859024 84453504 100288536 112604672 133718048 168907008 200577072 225209344 267436096 337814016 401154144 450418688 534872192 675628032 802308288 1069744384 1351256064 1604616576 2139488768 3209233152 4278977536 6418466304 8557955072 12836932608 25673865216