Search a number
-
+
11853288144 = 2433202913523
BaseRepresentation
bin10110000101000001…
…01101001011010000
31010121002001102112000
423002200231023100
5143233420210034
65240105034000
7566510200245
oct130240551320
933532042460
1011853288144
115032965905
122369785900
13116b947489
1480634b5cc
15495940599
hex2c282d2d0

11853288144 has 80 divisors (see below), whose sum is σ = 34042612800. Its totient is φ = 3948856704.

The previous prime is 11853288137. The next prime is 11853288169. The reversal of 11853288144 is 44188235811.

11853288144 is a `hidden beast` number, since 1 + 185 + 328 + 8 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11853288144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869767 + ... + 883289.

It is an arithmetic number, because the mean of its divisors is an integer number (425532660).

Almost surely, 211853288144 is an apocalyptic number.

It is an amenable number.

11853288144 is an abundant number, since it is smaller than the sum of its proper divisors (22189324656).

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

11853288144 is a wasteful number, since it uses less digits than its factorization.

11853288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15569 (or 15557 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 11853288144 in words is "eleven billion, eight hundred fifty-three million, two hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2029 4058 6087 8116 12174 13523 16232 18261 24348 27046 32464 36522 40569 48696 54092 54783 73044 81138 97392 108184 109566 121707 146088 162276 216368 219132 243414 292176 324552 365121 438264 486828 649104 730242 876528 973656 1460484 1947312 2920968 5841936 27438167 54876334 82314501 109752668 164629002 219505336 246943503 329258004 439010672 493887006 658516008 740830509 987774012 1317032016 1481661018 1975548024 2963322036 3951096048 5926644072 11853288144