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2525359968 = 253229329927
BaseRepresentation
bin1001011010000101…
…1110111101100000
320111222220120121200
42112201132331200
520132443004333
61054331121200
7116403130335
oct22641367540
96458816550
102525359968
11108655535a
125a58a3200
1331326b451
1419d57298c
15eba89c13
hex9685ef60

2525359968 has 72 divisors (see below), whose sum is σ = 7206243408. Its totient is φ = 838885632.

The previous prime is 2525359951. The next prime is 2525359973. The reversal of 2525359968 is 8699535252.

2525359968 is a `hidden beast` number, since 2 + 525 + 3 + 59 + 9 + 68 = 666.

2525359968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×25253599682 = 12754885935953922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69421 + ... + 99347.

It is an arithmetic number, because the mean of its divisors is an integer number (100086714).

Almost surely, 22525359968 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 2525359968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603121704).

2525359968 is an abundant number, since it is smaller than the sum of its proper divisors (4680883440).

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

2525359968 is a wasteful number, since it uses less digits than its factorization.

2525359968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30236 (or 30225 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 2525359968 is about 50252.9597934291. The cubic root of 2525359968 is about 1361.7825472605.

The spelling of 2525359968 in words is "two billion, five hundred twenty-five million, three hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 28128 29927 42192 59854 84384 89781 119708 179562 239416 269343 359124 478832 538686 718248 957664 1077372 1436496 2154744 2872992 4309488 8618976 8768611 17537222 26305833 35074444 52611666 70148888 78917499 105223332 140297776 157834998 210446664 280595552 315669996 420893328 631339992 841786656 1262679984 2525359968