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54296268048 = 24321123784221
BaseRepresentation
bin110010100100010011…
…110100110100010000
312012011000000012102200
4302210103310310100
51342144321034143
640535433243200
73631340443401
oct624423646420
9165130005380
1054296268048
1121032911900
12a633863500
135173b83679
1428b11659a8
15162bb3d1d3
hexca44f4d10

54296268048 has 180 divisors, whose sum is σ = 171540169164. Its totient is φ = 16008537600.

The previous prime is 54296268029. The next prime is 54296268049. The reversal of 54296268048 is 84086269245.

54296268048 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 626 + 8 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52088019984 + 2208248064 = 228228^2 + 46992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54296267985 and 54296268003.

It is not an unprimeable number, because it can be changed into a prime (54296268049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 602578 + ... + 686798.

Almost surely, 254296268048 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 54296268048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85770084582).

54296268048 is an abundant number, since it is smaller than the sum of its proper divisors (117243901116).

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

54296268048 is a wasteful number, since it uses less digits than its factorization.

54296268048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84294 (or 84274 counting only the distinct ones).

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

The spelling of 54296268048 in words is "fifty-four billion, two hundred ninety-six million, two hundred sixty-eight thousand, forty-eight".