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11851475472 = 24381729229
BaseRepresentation
bin10110000100110011…
…10010101000010000
31010120221122100000000
423002121302220100
5143232434203342
65240002130000
7566455610424
oct130231625020
933527570000
1011851475472
115031937a31
122369050900
13116b4613a5
14805dd8b84
154956d344c
hex2c2672a10

11851475472 has 360 divisors, whose sum is σ = 37889818200. Its totient is φ = 3574222848.

The previous prime is 11851475459. The next prime is 11851475509. The reversal of 11851475472 is 27457415811.

11851475472 is a `hidden beast` number, since 1 + 18 + 51 + 47 + 547 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6249851136 + 5601624336 = 79056^2 + 74844^2 .

Its product of digits (313600) is a multiple of the sum of its prime divisors (280).

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 71 ways as a sum of consecutive naturals, for example, 51753054 + ... + 51753282.

It is an arithmetic number, because the mean of its divisors is an integer number (105249495).

Almost surely, 211851475472 is an apocalyptic number.

11851475472 is a gapful number since it is divisible by the number (12) 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 11851475472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18944909100).

11851475472 is an abundant number, since it is smaller than the sum of its proper divisors (26038342728).

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

11851475472 is an equidigital number, since it uses as much as digits as its factorization.

11851475472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The spelling of 11851475472 in words is "eleven billion, eight hundred fifty-one million, four hundred seventy-five thousand, four hundred seventy-two".