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54343209312 = 2533723147881
BaseRepresentation
bin110010100111000110…
…111001000101100000
312012021021100001202000
4302213012321011200
51342243330144222
640544231324000
73632450441400
oct624706710540
9165237301660
1054343209312
1121057363537
12a647520600
13518080a772
1428b74a4800
151630d119ac
hexca71b9160

54343209312 has 576 divisors, whose sum is σ = 194596577280. Its totient is φ = 14689382400.

The previous prime is 54343209299. The next prime is 54343209317. The reversal of 54343209312 is 21390234345.

54343209312 is a `hidden beast` number, since 5 + 434 + 3 + 209 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54343209317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61683112 + ... + 61683992.

It is an arithmetic number, because the mean of its divisors is an integer number (337841280).

Almost surely, 254343209312 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 54343209312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97298288640).

54343209312 is an abundant number, since it is smaller than the sum of its proper divisors (140253367968).

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

54343209312 is a wasteful number, since it uses less digits than its factorization.

54343209312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 54343209312 in words is "fifty-four billion, three hundred forty-three million, two hundred nine thousand, three hundred twelve".