Search a number
-
+
54497551680 = 263551113329
BaseRepresentation
bin110010110000010011…
…101010010101000000
312012200000202110200000
4302300103222111000
51343102333123210
641011423400000
73636333355215
oct626023522500
9165600673600
1054497551680
11211264a1210
12a68b153000
1351a679a000
1428cdb9db0c
15163e64cac0
hexcb04ea540

54497551680 has 1344 divisors, whose sum is σ = 237648902400. Its totient is φ = 11774730240.

The previous prime is 54497551679. The next prime is 54497551697. The reversal of 54497551680 is 8615579445.

It is a happy number.

54497551680 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 7 + 551 + 6 + 80 = 666.

It is a super-2 number, since 2×544975516802 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1879225906 + ... + 1879225934.

It is an arithmetic number, because the mean of its divisors is an integer number (176822100).

Almost surely, 254497551680 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 54497551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118824451200).

54497551680 is an abundant number, since it is smaller than the sum of its proper divisors (183151350720).

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

54497551680 is a wasteful number, since it uses less digits than its factorization.

54497551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 54497551680 in words is "fifty-four billion, four hundred ninety-seven million, five hundred fifty-one thousand, six hundred eighty".