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5086112256 = 29331272897
BaseRepresentation
bin1001011110010011…
…11110101000000000
3111010110102021101000
410233021332220000
540404021043011
62200405012000
7240016145421
oct45711765000
914113367330
105086112256
11217aa83465
12b9b3b4000
1363094c0a4
143636b9648
151eb7b6356
hex12f27ea00

5086112256 has 160 divisors (see below), whose sum is σ = 15179028480. Its totient is φ = 1681440768.

The previous prime is 5086112243. The next prime is 5086112321. The reversal of 5086112256 is 6522116805.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5086112256.

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, 1754200 + ... + 1757096.

It is an arithmetic number, because the mean of its divisors is an integer number (94868928).

Almost surely, 25086112256 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 5086112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589514240).

5086112256 is an abundant number, since it is smaller than the sum of its proper divisors (10092916224).

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

5086112256 is a wasteful number, since it uses less digits than its factorization.

5086112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5086112256 is about 71316.9843445445. The cubic root of 5086112256 is about 1719.7367832294.

The spelling of 5086112256 in words is "five billion, eighty-six million, one hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 576 762 768 864 1016 1143 1152 1524 1536 1728 2032 2286 2304 2897 3048 3429 3456 4064 4572 4608 5794 6096 6858 6912 8128 8691 9144 11588 12192 13716 13824 16256 17382 18288 23176 24384 26073 27432 32512 34764 36576 46352 48768 52146 54864 65024 69528 73152 78219 92704 97536 104292 109728 139056 146304 156438 185408 195072 208584 219456 278112 292608 312876 367919 370816 417168 438912 556224 585216 625752 735838 741632 834336 877824 1103757 1112448 1251504 1471676 1483264 1668672 1755648 2207514 2224896 2503008 2943352 3311271 3337344 4415028 4449792 5006016 5886704 6622542 6674688 8830056 9933813 10012032 11773408 13245084 13349376 17660112 19867626 20024064 23546816 26490168 35320224 39735252 40048128 47093632 52980336 70640448 79470504 94187264 105960672 141280896 158941008 188374528 211921344 282561792 317882016 423842688 565123584 635764032 847685376 1271528064 1695370752 2543056128 5086112256