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11873051136 = 29322576617
BaseRepresentation
bin10110000111011000…
…00110001000000000
31010122110020111020200
423003230012020000
5143304000114021
65242052405200
7600140161302
oct130354061000
933573214220
1011873051136
115043034061
122374316800
131172a76a5b
14808c13972
15497546126
hex2c3b06200

11873051136 has 60 divisors (see below), whose sum is σ = 34266442782. Its totient is φ = 3957682176.

The previous prime is 11873051117. The next prime is 11873051213. The reversal of 11873051136 is 63115037811.

11873051136 is a `hidden beast` number, since 1 + 1 + 87 + 30 + 511 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11303942400 + 569108736 = 106320^2 + 23856^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11873051136.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1283701 + ... + 1292916.

Almost surely, 211873051136 is an apocalyptic number.

11873051136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11873051136 is an abundant number, since it is smaller than the sum of its proper divisors (22393391646).

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

11873051136 is an equidigital number, since it uses as much as digits as its factorization.

11873051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576641 (or 2576622 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 11873051136 its reverse (63115037811), we get a palindrome (74988088947).

The spelling of 11873051136 in words is "eleven billion, eight hundred seventy-three million, fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 2576617 5153234 7729851 10306468 15459702 20612936 23189553 30919404 41225872 46379106 61838808 82451744 92758212 123677616 164903488 185516424 247355232 329806976 371032848 494710464 659613952 742065696 989420928 1319227904 1484131392 1978841856 2968262784 3957683712 5936525568 11873051136