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25783058056 = 23759103239317
BaseRepresentation
bin11000000000110010…
…100011111010001000
32110112212101001112011
4120000302203322020
5410300430324211
615502232225304
71601633243320
oct300062437210
973485331464
1025783058056
11aa30956148
124bb683b234
13257b836b92
141368382280
15a0d7ee921
hex600ca3e88

25783058056 has 128 divisors (see below), whose sum is σ = 57148416000. Its totient is φ = 10678332672.

The previous prime is 25783058051. The next prime is 25783058057. The reversal of 25783058056 is 65085038752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25783058051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81334410 + ... + 81334726.

It is an arithmetic number, because the mean of its divisors is an integer number (446472000).

Almost surely, 225783058056 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 25783058056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28574208000).

25783058056 is an abundant number, since it is smaller than the sum of its proper divisors (31365357944).

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

25783058056 is a wasteful number, since it uses less digits than its factorization.

25783058056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 25783058056 in words is "twenty-five billion, seven hundred eighty-three million, fifty-eight thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 59 103 118 206 236 239 317 412 413 472 478 634 721 824 826 956 1268 1442 1652 1673 1912 2219 2536 2884 3304 3346 4438 5768 6077 6692 8876 12154 13384 14101 17752 18703 24308 24617 28202 32651 37406 42539 48616 49234 56404 65302 74812 75763 85078 98468 98707 112808 130604 130921 149624 151526 170156 172319 196936 197414 228557 261208 261842 303052 340312 344638 394828 457114 523684 530341 606104 689276 789656 914228 1047368 1060682 1378552 1452403 1828456 1926409 2121364 2904806 3852818 4242728 4470017 5809612 7705636 7803589 8940034 10166821 11619224 13484863 15411272 15607178 17880068 20333642 26969726 31214356 31290119 35760136 40667284 53939452 54625123 62428712 62580238 81334568 107878904 109250246 125160476 218500492 250320952 437000984 460411751 920823502 1841647004 3222882257 3683294008 6445764514 12891529028 25783058056