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25068478032 = 24321350926309
BaseRepresentation
bin10111010110001100…
…101001111001010000
32101201001202122000100
4113112030221321100
5402320012244112
615303304252400
71545135355533
oct272614517120
971631678010
1025068478032
11a6a4558644
124a37471100
132496791370
1412db4d0a1a
159babec2dc
hex5d6329e50

25068478032 has 120 divisors (see below), whose sum is σ = 75704920200. Its totient is φ = 7697931264.

The previous prime is 25068478027. The next prime is 25068478087. The reversal of 25068478032 is 23087486052.

It can be written as a sum of positive squares in 4 ways, for example, as 349091856 + 24719386176 = 18684^2 + 157224^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 939694 + ... + 966002.

It is an arithmetic number, because the mean of its divisors is an integer number (630874335).

Almost surely, 225068478032 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 25068478032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37852460100).

25068478032 is an abundant number, since it is smaller than the sum of its proper divisors (50636442168).

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

25068478032 is a wasteful number, since it uses less digits than its factorization.

25068478032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26845 (or 26836 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25068478032 in words is "twenty-five billion, sixty-eight million, four hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 509 624 936 1018 1527 1872 2036 3054 4072 4581 6108 6617 8144 9162 12216 13234 18324 19851 24432 26309 26468 36648 39702 52618 52936 59553 73296 78927 79404 105236 105872 119106 157854 158808 210472 236781 238212 315708 317616 342017 420944 473562 476424 631416 684034 947124 952848 1026051 1262832 1368068 1894248 2052102 2736136 3078153 3788496 4104204 5472272 6156306 8208408 12312612 13391281 16416816 24625224 26782562 40173843 49250448 53565124 80347686 107130248 120521529 160695372 174086653 214260496 241043058 321390744 348173306 482086116 522259959 642781488 696346612 964172232 1044519918 1392693224 1566779877 1928344464 2089039836 2785386448 3133559754 4178079672 6267119508 8356159344 12534239016 25068478032