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11539022112 = 253240997961
BaseRepresentation
bin10101011111100011…
…11000000100100000
31002210011201001120100
422233301320010200
5142112442201422
65145001142400
7555643032612
oct125761700440
932704631510
1011539022112
114991528112
1222a048aa00
13111b7c3147
147b6702db2
154780647ac
hex2afc78120

11539022112 has 72 divisors (see below), whose sum is σ = 32894659980. Its totient is φ = 3836897280.

The previous prime is 11539022111. The next prime is 11539022141. The reversal of 11539022112 is 21122093511.

11539022112 is a `hidden beast` number, since 11 + 539 + 0 + 2 + 2 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11424189456 + 114832656 = 106884^2 + 10716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11539022111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68812 + ... + 166772.

Almost surely, 211539022112 is an apocalyptic number.

11539022112 is a gapful number since it is divisible by the number (12) 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 11539022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447329990).

11539022112 is an abundant number, since it is smaller than the sum of its proper divisors (21355637868).

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

11539022112 is a wasteful number, since it uses less digits than its factorization.

11539022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98386 (or 98375 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11539022112 in words is "eleven billion, five hundred thirty-nine million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 13088 14724 19632 29448 39264 58896 97961 117792 195922 293883 391844 587766 783688 881649 1175532 1567376 1763298 2351064 3134752 3526596 4702128 7053192 9404256 14106384 28212768 40066049 80132098 120198147 160264196 240396294 320528392 360594441 480792588 641056784 721188882 961585176 1282113568 1442377764 1923170352 2884755528 3846340704 5769511056 11539022112