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10159623744 = 263736911049
BaseRepresentation
bin10010111011000111…
…11000111001000000
3222020001010100201220
421131203320321000
5131301330424434
64400043555040
7506523243204
oct113543707100
928201110656
1010159623744
11434392a766
121b7652ba80
13c5baa88aa
146c5434b04
153e6dddd49
hex25d8f8e40

10159623744 has 112 divisors (see below), whose sum is σ = 27314347200. Its totient is φ = 3332136960.

The previous prime is 10159623709. The next prime is 10159623787. The reversal of 10159623744 is 44732695101.

It is a junction number, because it is equal to n+sod(n) for n = 10159623696 and 10159623705.

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, 9684532 + ... + 9685580.

It is an arithmetic number, because the mean of its divisors is an integer number (243878100).

Almost surely, 210159623744 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 10159623744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657173600).

10159623744 is an abundant number, since it is smaller than the sum of its proper divisors (17154723456).

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

10159623744 is a wasteful number, since it uses less digits than its factorization.

10159623744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10159623744 in words is "ten billion, one hundred fifty-nine million, six hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 691 876 1049 1168 1382 1752 2073 2098 2336 2764 3147 3504 4146 4196 4672 5528 6294 7008 8292 8392 11056 12588 14016 16584 16784 22112 25176 33168 33568 44224 50352 50443 66336 67136 76577 100704 100886 132672 151329 153154 201408 201772 229731 302658 306308 403544 459462 605316 612616 724859 807088 918924 1210632 1225232 1449718 1614176 1837848 2174577 2421264 2450464 2899436 3228352 3675696 4349154 4842528 4900928 5798872 7351392 8698308 9685056 11597744 14702784 17396616 23195488 34793232 46390976 52914707 69586464 105829414 139172928 158744121 211658828 317488242 423317656 634976484 846635312 1269952968 1693270624 2539905936 3386541248 5079811872 10159623744