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54229368384 = 26323123132
BaseRepresentation
bin110010100000010100…
…100111111001000000
312011222100010100100100
4302200110213321000
51342030204242014
640525043322400
73626566011552
oct624024477100
9164870110310
1054229368384
1120aa9079124
12a615380400
13516305c079
1428a630d4d2
151625d26009
hexca0527e40

54229368384 has 189 divisors, whose sum is σ = 161129376369. Its totient is φ = 17437455360.

The previous prime is 54229368313. The next prime is 54229368451. The reversal of 54229368384 is 48386392245.

The square root of 54229368384 is 232872.

It is a perfect power (a square), and thus also a powerful number.

54229368384 is a `hidden beast` number, since 5 + 4 + 229 + 36 + 8 + 384 = 666.

It can be written as a sum of positive squares in only one way, i.e., 345960000 + 53883408384 = 18600^2 + 232128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54229368384.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173256612 + ... + 173256924.

Almost surely, 254229368384 is an apocalyptic number.

54229368384 is the 232872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54229368384

54229368384 is an abundant number, since it is smaller than the sum of its proper divisors (106900007985).

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

54229368384 is an equidigital number, since it uses as much as digits as its factorization.

54229368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 349 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 54229368384 in words is "fifty-four billion, two hundred twenty-nine million, three hundred sixty-eight thousand, three hundred eighty-four".