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27931115520 = 21633571141
BaseRepresentation
bin11010000000110100…
…110000000000000000
32200002120022200102000
4122000310300000000
5424200331144040
620455324424000
72006105364450
oct320064600000
980076280360
1027931115520
1110933428550
1254b60a8000
13283187cbb9
1414cd77bd60
15ad71ab130
hex680d30000

27931115520 has 1088 divisors, whose sum is σ = 126834785280. Its totient is φ = 5662310400.

The previous prime is 27931115519. The next prime is 27931115543. The reversal of 27931115520 is 2551113972.

27931115520 is a `hidden beast` number, since 2 + 7 + 93 + 1 + 11 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681246700 + ... + 681246740.

Almost surely, 227931115520 is an apocalyptic number.

27931115520 is a gapful number since it is divisible by the number (20) 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 27931115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63417392640).

27931115520 is an abundant number, since it is smaller than the sum of its proper divisors (98903669760).

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

27931115520 is an equidigital number, since it uses as much as digits as its factorization.

27931115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 27931115520 in words is "twenty-seven billion, nine hundred thirty-one million, one hundred fifteen thousand, five hundred twenty".