Search a number
-
+
54538618680 = 2337571321731
BaseRepresentation
bin110010110010110000…
…010100011100111000
312012202220000220000000
4302302300110130320
51343143341244210
641015451513000
73640342416120
oct626260243470
9165686026000
1054538618680
11211476a0487
12a6a0a58760
1351b2148400
1428d540dc80
151643060ac0
hexcb2c14738

54538618680 has 1536 divisors, whose sum is σ = 248931532800. Its totient is φ = 10480803840.

The previous prime is 54538618643. The next prime is 54538618681. The reversal of 54538618680 is 8681683545.

54538618680 is a `hidden beast` number, since 5 + 4 + 5 + 386 + 186 + 80 = 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 (54538618681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1759310265 + ... + 1759310295.

It is an arithmetic number, because the mean of its divisors is an integer number (162064800).

Almost surely, 254538618680 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 54538618680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124465766400).

54538618680 is an abundant number, since it is smaller than the sum of its proper divisors (194392914120).

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

54538618680 is a wasteful number, since it uses less digits than its factorization.

54538618680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 54538618680 in words is "fifty-four billion, five hundred thirty-eight million, six hundred eighteen thousand, six hundred eighty".