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54348234192 = 243272323310061
BaseRepresentation
bin110010100111011010…
…000011110111010000
312012021121210100120200
4302213122003313100
51342301121443232
640544531135200
73632541240240
oct624732036720
9165247710520
1054348234192
112105a18582a
12a649144500
135181879975
1428b8011b20
1516314a577c
hexca7683dd0

54348234192 has 240 divisors, whose sum is σ = 182182411008. Its totient is φ = 14787717120.

The previous prime is 54348234151. The next prime is 54348234209. The reversal of 54348234192 is 29143284345.

54348234192 is a `hidden beast` number, since 5 + 43 + 482 + 3 + 41 + 92 = 666.

54348234192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5396842 + ... + 5406902.

Almost surely, 254348234192 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 54348234192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91091205504).

54348234192 is an abundant number, since it is smaller than the sum of its proper divisors (127834176816).

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

54348234192 is a wasteful number, since it uses less digits than its factorization.

54348234192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10338 (or 10329 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 54348234192 in words is "fifty-four billion, three hundred forty-eight million, two hundred thirty-four thousand, one hundred ninety-two".