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112751610016 = 25171930735533
BaseRepresentation
bin110100100000010000…
…1010000100010100000
3101210000212001020201011
41221000201100202200
53321403403010031
6123444122150304
711101042605043
oct1510041204240
9353025036634
10112751610016
11438aa387481
1219a28352394
13a82b5b3806
14565880cc5a
152ded9746b1
hex1a408508a0

112751610016 has 96 divisors (see below), whose sum is σ = 248220624960. Its totient is φ = 50101825536.

The previous prime is 112751610011. The next prime is 112751610071. The reversal of 112751610016 is 610016157211.

It is a super-2 number, since 2×1127516100162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112751610016.

It is not an unprimeable number, because it can be changed into a prime (112751610011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3155386 + ... + 3190918.

It is an arithmetic number, because the mean of its divisors is an integer number (2585631510).

Almost surely, 2112751610016 is an apocalyptic number.

112751610016 is a gapful number since it is divisible by the number (16) 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 112751610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124110312480).

112751610016 is an abundant number, since it is smaller than the sum of its proper divisors (135469014944).

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

112751610016 is a wasteful number, since it uses less digits than its factorization.

112751610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35886 (or 35878 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

Adding to 112751610016 its reverse (610016157211), we get a palindrome (722767767227).

The spelling of 112751610016 in words is "one hundred twelve billion, seven hundred fifty-one million, six hundred ten thousand, sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 307 323 544 608 614 646 1228 1292 2456 2584 4912 5168 5219 5833 9824 10336 10438 11666 20876 23332 35533 41752 46664 71066 83504 93328 99161 142132 167008 186656 198322 284264 396644 568528 604061 675127 793288 1137056 1208122 1350254 1586576 2416244 2700508 3173152 4832488 5401016 9664976 10802032 10908631 11477159 19329952 21604064 21817262 22954318 43634524 45908636 87269048 91817272 174538096 183634544 185446727 207263989 349076192 367269088 370893454 414527978 741786908 829055956 1483573816 1658111912 2967147632 3316223824 3523487813 5934295264 6632447648 7046975626 14093951252 28187902504 56375805008 112751610016