Search a number
-
+
54534379680 = 25335115359367
BaseRepresentation
bin110010110010100000…
…001001100010100000
312012202121001112012000
4302302200021202200
51343141300122210
641015221004000
73640261402404
oct626240114240
9165677045160
1054534379680
1121145265680
12a69b553600
1351b12c2b21
1428d4a29104
1516429c4ac0
hexcb28098a0

54534379680 has 768 divisors, whose sum is σ = 216334540800. Its totient is φ = 12716421120.

The previous prime is 54534379673. The next prime is 54534379721. The reversal of 54534379680 is 8697343545.

54534379680 is a `hidden beast` number, since 5 + 45 + 3 + 437 + 96 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148594857 + ... + 148595223.

It is an arithmetic number, because the mean of its divisors is an integer number (281685600).

Almost surely, 254534379680 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 54534379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108167270400).

54534379680 is an abundant number, since it is smaller than the sum of its proper divisors (161800161120).

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

54534379680 is a wasteful number, since it uses less digits than its factorization.

54534379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 54534379680 in words is "fifty-four billion, five hundred thirty-four million, three hundred seventy-nine thousand, six hundred eighty".