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25581428320 = 255788325867
BaseRepresentation
bin10111110100110001…
…011001111001100000
32110000210222012112011
4113310301121321200
5404342321201240
615430230442304
71563634360450
oct276461317140
973023865464
1025581428320
11a93805a7a8
124b5b203394
132548b2bb46
141349697d60
159eac726ea
hex5f4c59e60

25581428320 has 96 divisors (see below), whose sum is σ = 69150751488. Its totient is φ = 8760503808.

The previous prime is 25581428269. The next prime is 25581428347. The reversal of 25581428320 is 2382418552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976027 + ... + 1001893.

It is an arithmetic number, because the mean of its divisors is an integer number (720320328).

Almost surely, 225581428320 is an apocalyptic number.

25581428320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25581428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34575375744).

25581428320 is an abundant number, since it is smaller than the sum of its proper divisors (43569323168).

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

25581428320 is a wasteful number, since it uses less digits than its factorization.

25581428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26772 (or 26764 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 25581428320 in words is "twenty-five billion, five hundred eighty-one million, four hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 883 1120 1766 3532 4415 6181 7064 8830 12362 14128 17660 24724 25867 28256 30905 35320 49448 51734 61810 70640 98896 103468 123620 129335 141280 181069 197792 206936 247240 258670 362138 413872 494480 517340 724276 827744 905345 988960 1034680 1448552 1810690 2069360 2897104 3621380 4138720 5794208 7242760 14485520 22840561 28971040 45681122 91362244 114202805 159883927 182724488 228405610 319767854 365448976 456811220 639535708 730897952 799419635 913622440 1279071416 1598839270 1827244880 2558142832 3197678540 3654489760 5116285664 6395357080 12790714160 25581428320