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11783978928 = 2433123122159
BaseRepresentation
bin10101111100110000…
…10011111110110000
31010102020122011011000
422332120103332300
5143113144311203
65225151322000
7565006111461
oct127630237660
933366564130
1011783978928
114aa7826867
12234a520300
13115a48b1c7
147db068d68
1548e7ee4a3
hex2be613fb0

11783978928 has 80 divisors (see below), whose sum is σ = 33853388800. Its totient is φ = 3924624960.

The previous prime is 11783978917. The next prime is 11783978939. The reversal of 11783978928 is 82987938711.

It is an interprime number because it is at equal distance from previous prime (11783978917) and next prime (11783978939).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520713 + ... + 542871.

It is an arithmetic number, because the mean of its divisors is an integer number (423167360).

Almost surely, 211783978928 is an apocalyptic number.

11783978928 is a gapful number since it is divisible by the number (18) 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 11783978928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16926694400).

11783978928 is an abundant number, since it is smaller than the sum of its proper divisors (22069409872).

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

11783978928 is a wasteful number, since it uses less digits than its factorization.

11783978928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23407 (or 23395 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The spelling of 11783978928 in words is "eleven billion, seven hundred eighty-three million, nine hundred seventy-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1231 2462 3693 4924 7386 9848 11079 14772 19696 22158 22159 29544 33237 44316 44318 59088 66474 66477 88632 88636 132948 132954 177264 177272 199431 265896 265908 354544 398862 531792 531816 598293 797724 1063632 1196586 1595448 2393172 3190896 4786344 9572688 27277729 54555458 81833187 109110916 163666374 218221832 245499561 327332748 436443664 490999122 654665496 736498683 981998244 1309330992 1472997366 1963996488 2945994732 3927992976 5891989464 11783978928