Search a number
-
+
54593291088 = 2434717536679
BaseRepresentation
bin110010110110000000…
…111000001101010000
312012220200220112110000
4302312000320031100
51343301340303323
641025123410000
73641605213650
oct626600701520
9165820815400
1054593291088
1121175542696
12a6b7223900
1351c057b44b
1428dc7a2360
151647c5ee43
hexcb6038350

54593291088 has 400 divisors, whose sum is σ = 194840743680. Its totient is φ = 14401400832.

The previous prime is 54593291069. The next prime is 54593291089. The reversal of 54593291088 is 88019239545.

54593291088 is a `hidden beast` number, since 545 + 9 + 3 + 2 + 9 + 10 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54593291089) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8170533 + ... + 8177211.

Almost surely, 254593291088 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 54593291088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97420371840).

54593291088 is an abundant number, since it is smaller than the sum of its proper divisors (140247452592).

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

54593291088 is a wasteful number, since it uses less digits than its factorization.

54593291088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 54593291088 in words is "fifty-four billion, five hundred ninety-three million, two hundred ninety-one thousand, eighty-eight".