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1118917138336 = 252373127163981
BaseRepresentation
bin10000010010000100101…
…010001001011110100000
310221222010020222222000221
4100102010222021132200
5121313020241411321
62214005021252424
7143560544515234
oct20220452113640
93858106888027
101118917138336
113a1591611018
12160a2b104114
138168a022c5a
143c227a325c4
151e18b61de41
hex10484a897a0

1118917138336 has 96 divisors (see below), whose sum is σ = 2348495106048. Its totient is φ = 523644549120.

The previous prime is 1118917138333. The next prime is 1118917138369. The reversal of 1118917138336 is 6338317198111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1118917138333) 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, 6741466 + ... + 6905446.

It is an arithmetic number, because the mean of its divisors is an integer number (24463490688).

Almost surely, 21118917138336 is an apocalyptic number.

1118917138336 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 1118917138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174247553024).

1118917138336 is an abundant number, since it is smaller than the sum of its proper divisors (1229577967712).

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

1118917138336 is a wasteful number, since it uses less digits than its factorization.

1118917138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164214 (or 164206 counting only the distinct ones).

The product of its digits is 653184, while the sum is 52.

The spelling of 1118917138336 in words is "one trillion, one hundred eighteen billion, nine hundred seventeen million, one hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 73 92 127 146 184 254 292 368 508 584 736 1016 1168 1679 2032 2336 2921 3358 4064 5842 6716 9271 11684 13432 18542 23368 26864 37084 46736 53728 74168 93472 148336 163981 213233 296672 327962 426466 655924 852932 1311848 1705864 2623696 3411728 3771563 5247392 6823456 7543126 11970613 15086252 20825587 23941226 30172504 41651174 47882452 60345008 83302348 95764904 120690016 166604696 191529808 275324099 333209392 383059616 478988501 550648198 666418784 957977002 1101296396 1520267851 1915954004 2202592792 3040535702 3831908008 4405185584 6081071404 7663816016 8810371168 12162142808 15327632032 24324285616 34966160573 48648571232 69932321146 139864642292 279729284584 559458569168 1118917138336