Search a number
-
+
27988358112 = 25331113226531
BaseRepresentation
bin11010000100001111…
…000111001111100000
32200020120000220111000
4122010033013033200
5424310004424422
620505131352000
72010402055461
oct320417071740
980216026430
1027988358112
1110962775780
1255112b2600
1328406a2a60
1414d71dcd68
15adc216cac
hex6843c73e0

27988358112 has 192 divisors, whose sum is σ = 95904587520. Its totient is φ = 7828876800.

The previous prime is 27988358087. The next prime is 27988358143. The reversal of 27988358112 is 21185388972.

27988358112 is a `hidden beast` number, since 279 + 8 + 8 + 358 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10287 + ... + 236817.

It is an arithmetic number, because the mean of its divisors is an integer number (499503060).

Almost surely, 227988358112 is an apocalyptic number.

27988358112 is a gapful number since it is divisible by the number (22) 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 27988358112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47952293760).

27988358112 is an abundant number, since it is smaller than the sum of its proper divisors (67916229408).

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

27988358112 is a wasteful number, since it uses less digits than its factorization.

27988358112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226574 (or 226560 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 27988358112 in words is "twenty-seven billion, nine hundred eighty-eight million, three hundred fifty-eight thousand, one hundred twelve".