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11707844328 = 233497718493
BaseRepresentation
bin10101110011101011…
…11000011011101000
31010012221101010010000
422321311320123220
5142434202004303
65213431423000
7563063014635
oct127165703350
933187333100
1011707844328
114a68855804
122328b24a60
13114778234b
147d0ccb18c
15487cb0da3
hex2b9d786e8

11707844328 has 80 divisors (see below), whose sum is σ = 32828144580. Its totient is φ = 3898409472.

The previous prime is 11707844321. The next prime is 11707844383. The reversal of 11707844328 is 82344870711.

11707844328 is a `hidden beast` number, since 117 + 0 + 78 + 443 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11167839684 + 540004644 = 105678^2 + 23238^2 .

It is not an unprimeable number, because it can be changed into a prime (11707844321) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 623850 + ... + 642342.

Almost surely, 211707844328 is an apocalyptic number.

11707844328 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 11707844328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414072290).

11707844328 is an abundant number, since it is smaller than the sum of its proper divisors (21120300252).

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

11707844328 is a wasteful number, since it uses less digits than its factorization.

11707844328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19488 (or 19475 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11707844328 in words is "eleven billion, seven hundred seven million, eight hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 977 1954 2931 3908 5862 7816 8793 11724 17586 18493 23448 26379 35172 36986 52758 55479 70344 73972 79137 105516 110958 147944 158274 166437 211032 221916 316548 332874 443832 499311 633096 665748 998622 1331496 1497933 1997244 2995866 3994488 5991732 11983464 18067661 36135322 54202983 72270644 108405966 144541288 162608949 216811932 325217898 433623864 487826847 650435796 975653694 1300871592 1463480541 1951307388 2926961082 3902614776 5853922164 11707844328