Search a number
-
+
11139583152 = 243317486279
BaseRepresentation
bin10100101111111100…
…01000110010110000
31001202100002110022210
422113332020302300
5140303213130102
65041211532120
7543022615545
oct122776106260
931670073283
1011139583152
1147a7005775
1221aa75a040
131086b1a029
14779646bcc
15452e6236c
hex297f88cb0

11139583152 has 40 divisors (see below), whose sum is σ = 29705559040. Its totient is φ = 3593413440.

The previous prime is 11139583097. The next prime is 11139583159. The reversal of 11139583152 is 25138593111.

11139583152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11139583152.

It is not an unprimeable number, because it can be changed into a prime (11139583159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3741652 + ... + 3744627.

It is an arithmetic number, because the mean of its divisors is an integer number (742638976).

Almost surely, 211139583152 is an apocalyptic number.

11139583152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11139583152 is an abundant number, since it is smaller than the sum of its proper divisors (18565975888).

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

11139583152 is a wasteful number, since it uses less digits than its factorization.

11139583152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486321 (or 7486315 counting only the distinct ones).

The product of its digits is 32400, while the sum is 39.

The spelling of 11139583152 in words is "eleven billion, one hundred thirty-nine million, five hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 7486279 14972558 22458837 29945116 44917674 59890232 89835348 119780464 179670696 232074649 359341392 464149298 696223947 928298596 1392447894 1856597192 2784895788 3713194384 5569791576 11139583152