Search a number
-
+
27910996320 = 2535312298191
BaseRepresentation
bin11001111111101000…
…000000000101100000
32200001011110112001110
4121333220000011200
5424130203340240
620453325303320
72005442361054
oct317750000540
980034415043
1027910996320
1110923036709
1254ab404b40
13282a65744c
1414cac21c64
15ad5534c80
hex67fa00160

27910996320 has 192 divisors, whose sum is σ = 91163197440. Its totient is φ = 7170508800.

The previous prime is 27910996313. The next prime is 27910996339. The reversal of 27910996320 is 2369901972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27910996320.

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, 3403425 + ... + 3411615.

It is an arithmetic number, because the mean of its divisors is an integer number (474808320).

Almost surely, 227910996320 is an apocalyptic number.

27910996320 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 27910996320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45581598720).

27910996320 is an abundant number, since it is smaller than the sum of its proper divisors (63252201120).

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

27910996320 is a wasteful number, since it uses less digits than its factorization.

27910996320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8469 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 27910996320 in words is "twenty-seven billion, nine hundred ten million, nine hundred ninety-six thousand, three hundred twenty".