Search a number
-
+
55340730368 = 211711261523
BaseRepresentation
bin110011100010100100…
…001000100000000000
312021211210100101101022
4303202210020200000
51401314211332433
641231223525012
73666252306140
oct634244104000
9167753311338
1055340730368
1121519443900
12a8855b9768
1352ac38a501
14296db68920
15168d6a3698
hexce2908800

55340730368 has 288 divisors, whose sum is σ = 141552815040. Its totient is φ = 21167308800.

The previous prime is 55340730359. The next prime is 55340730371. The reversal of 55340730368 is 86303704355.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105813755 + ... + 105814277.

It is an arithmetic number, because the mean of its divisors is an integer number (491502830).

Almost surely, 255340730368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55340730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70776407520).

55340730368 is an abundant number, since it is smaller than the sum of its proper divisors (86212084672).

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

55340730368 is a wasteful number, since it uses less digits than its factorization.

55340730368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 55340730368 in words is "fifty-five billion, three hundred forty million, seven hundred thirty thousand, three hundred sixty-eight".