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11514923392 = 27791114107
BaseRepresentation
bin10101011100101011…
…11100100110000000
31002201111100201100011
422232111330212000
5142040310022032
65142340434304
7555231143140
oct125625744600
932644321304
1011514923392
114979968415
1222943a8994
13111680624b
147b342c920
15475da4247
hex2ae57c980

11514923392 has 64 divisors (see below), whose sum is σ = 26247651840. Its totient is φ = 4929200640.

The previous prime is 11514923369. The next prime is 11514923393. The reversal of 11514923392 is 29332941511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11514923393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 809203 + ... + 823309.

It is an arithmetic number, because the mean of its divisors is an integer number (410119560).

Almost surely, 211514923392 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 11514923392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123825920).

11514923392 is an abundant number, since it is smaller than the sum of its proper divisors (14732728448).

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

11514923392 is an equidigital number, since it uses as much as digits as its factorization.

11514923392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15039 (or 15027 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The spelling of 11514923392 in words is "eleven billion, five hundred fourteen million, nine hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 911 1822 3644 6377 7288 12754 14107 14576 25508 28214 29152 51016 56428 58304 98749 102032 112856 116608 197498 204064 225712 394996 408128 451424 789992 816256 902848 1579984 1805696 3159968 6319936 12639872 12851477 25702954 51405908 89960339 102811816 179920678 205623632 359841356 411247264 719682712 822494528 1439365424 1644989056 2878730848 5757461696 11514923392