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27753080056 = 23131917218161
BaseRepresentation
bin11001110110001101…
…100110010011111000
32122122011022112122221
4121312031212103320
5423314242030211
620425524453424
72001514200562
oct316615462370
978564275587
1027753080056
11108519878a9
12546654a274
132803a16280
1414b3c76332
15ac673ec71
hex6763664f8

27753080056 has 64 divisors (see below), whose sum is σ = 59030848800. Its totient is φ = 12126412800.

The previous prime is 27753080053. The next prime is 27753080059. The reversal of 27753080056 is 65008035772.

It is an interprime number because it is at equal distance from previous prime (27753080053) and next prime (27753080059).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27753079994 and 27753080021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27753080051) 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 15 ways as a sum of consecutive naturals, for example, 3396616 + ... + 3404776.

Almost surely, 227753080056 is an apocalyptic number.

27753080056 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 27753080056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29515424400).

27753080056 is an abundant number, since it is smaller than the sum of its proper divisors (31277768744).

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

27753080056 is a wasteful number, since it uses less digits than its factorization.

27753080056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 27753080056 in words is "twenty-seven billion, seven hundred fifty-three million, eighty thousand, fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1721 1976 3442 6884 8161 13768 16322 22373 32644 32699 44746 65288 65398 89492 106093 130796 155059 178984 212186 261592 310118 424372 425087 620236 848744 850174 1240472 1700348 2015767 3400696 4031534 8063068 14045081 16126136 28090162 56180324 112360648 182586053 266856539 365172106 533713078 730344212 1067426156 1460688424 2134852312 3469135007 6938270014 13876540028 27753080056