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11411812368 = 2432117204427
BaseRepresentation
bin10101010000011001…
…00111000000010000
31002110022100010121100
422220030213000100
5141332410443433
65124214424400
7552536542665
oct125014470020
932408303540
1011411812368
1149267415a0
122265962100
1310cb3436c8
147a386ba6c
1546bcd7b13
hex2a8327010

11411812368 has 60 divisors (see below), whose sum is σ = 34840613808. Its totient is φ = 3458124480.

The previous prime is 11411812361. The next prime is 11411812421. The reversal of 11411812368 is 86321811411.

11411812368 is a `hidden beast` number, since 1 + 1 + 411 + 8 + 1 + 236 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11411812361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3600630 + ... + 3603797.

Almost surely, 211411812368 is an apocalyptic number.

11411812368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11411812368 is an abundant number, since it is smaller than the sum of its proper divisors (23428801440).

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

11411812368 is a wasteful number, since it uses less digits than its factorization.

11411812368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204452 (or 7204443 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The spelling of 11411812368 in words is "eleven billion, four hundred eleven million, eight hundred twelve thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7204427 14408854 21613281 28817708 43226562 57635416 64839843 79248697 86453124 115270832 129679686 158497394 172906248 237746091 259359372 316994788 345812496 475492182 518718744 633989576 713238273 950984364 1037437488 1267979152 1426476546 1901968728 2852953092 3803937456 5705906184 11411812368