Search a number
-
+
54266849280 = 2113257261197
BaseRepresentation
bin110010100010100011…
…100110100000000000
312012001221122120110200
4302202203212200000
51342114303134110
640532502525200
73630532415400
oct624243464000
9165057576420
1054266849280
1121018249076
12a625a36800
13516aa53107
1428ab2a8800
15162927b6c0
hexca28e6800

54266849280 has 864 divisors, whose sum is σ = 223501398120. Its totient is φ = 12138577920.

The previous prime is 54266849243. The next prime is 54266849309. The reversal of 54266849280 is 8294866245.

54266849280 is a `hidden beast` number, since 54 + 26 + 6 + 8 + 492 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44241232896 + 10025616384 = 210336^2 + 100128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275466142 + ... + 275466338.

Almost surely, 254266849280 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 54266849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111750699060).

54266849280 is an abundant number, since it is smaller than the sum of its proper divisors (169234548840).

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

54266849280 is a wasteful number, since it uses less digits than its factorization.

54266849280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 54266849280 in words is "fifty-four billion, two hundred sixty-six million, eight hundred forty-nine thousand, two hundred eighty".