Search a number
-
+
27355969344 = 26311313071361
BaseRepresentation
bin11001011110100010…
…101111011101000000
32121121111002020011210
4121132202233131000
5422011112004334
620322301210120
71655622621444
oct313642573500
977544066153
1027355969344
1110668805730
125375560940
13276c676b12
141477224824
15aa194c5e9
hex65e8af740

27355969344 has 224 divisors, whose sum is σ = 81831923712. Its totient is φ = 7990272000.

The previous prime is 27355969337. The next prime is 27355969349. The reversal of 27355969344 is 44396955372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27355969349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20099224 + ... + 20100584.

It is an arithmetic number, because the mean of its divisors is an integer number (365321088).

Almost surely, 227355969344 is an apocalyptic number.

27355969344 is a gapful number since it is divisible by the number (24) 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 27355969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40915961856).

27355969344 is an abundant number, since it is smaller than the sum of its proper divisors (54475954368).

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

27355969344 is a wasteful number, since it uses less digits than its factorization.

27355969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 57.

It can be divided in two parts, 27355 and 969344, that added together give a palindrome (996699).

The spelling of 27355969344 in words is "twenty-seven billion, three hundred fifty-five million, nine hundred sixty-nine thousand, three hundred forty-four".