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27696797856 = 25377134349
BaseRepresentation
bin11001110010110110…
…111001100010100000
32122111020102010000000
4121302312321202200
5423210340012411
620420154300000
72000231616540
oct316266714240
978436363000
1027696797856
1110823136192
12544b727600
1327c516b5b0
1414aa5c5320
15ac1823956
hex672db98a0

27696797856 has 384 divisors, whose sum is σ = 100675008000. Its totient is φ = 7302970368.

The previous prime is 27696797839. The next prime is 27696797861. The reversal of 27696797856 is 65879769672.

It is a super-2 number, since 2×276967978562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (480090240) is a multiple of the sum of its prime divisors (4374).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6366370 + ... + 6370718.

It is an arithmetic number, because the mean of its divisors is an integer number (262174500).

Almost surely, 227696797856 is an apocalyptic number.

27696797856 is a gapful number since it is divisible by the number (26) 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 27696797856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50337504000).

27696797856 is an abundant number, since it is smaller than the sum of its proper divisors (72978210144).

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

27696797856 is an equidigital number, since it uses as much as digits as its factorization.

27696797856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4374 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 27696797856 in words is "twenty-seven billion, six hundred ninety-six million, seven hundred ninety-seven thousand, eight hundred fifty-six".