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54334696680 = 233251122694637
BaseRepresentation
bin110010100110100110…
…011010110011101000
312012020200022120121100
4302212212122303220
51342234140243210
640543325041400
73632315205255
oct624646326350
9165220276540
1054334696680
1121052579900
12a6446b6260
13517bb19bc4
1428b62ca42c
1516301ce5c0
hexca699ace8

54334696680 has 288 divisors, whose sum is σ = 194864178600. Its totient is φ = 13120250880.

The previous prime is 54334696679. The next prime is 54334696697. The reversal of 54334696680 is 8669643345.

54334696680 is a `hidden beast` number, since 5 + 43 + 3 + 469 + 66 + 80 = 666.

54334696680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23304464964 + 31030231716 = 152658^2 + 176154^2 .

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, 11715322 + ... + 11719958.

Almost surely, 254334696680 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 54334696680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97432089300).

54334696680 is an abundant number, since it is smaller than the sum of its proper divisors (140529481920).

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

54334696680 is a wasteful number, since it uses less digits than its factorization.

54334696680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4927 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 54334696680 in words is "fifty-four billion, three hundred thirty-four million, six hundred ninety-six thousand, six hundred eighty".