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54341532000 = 2532537223967
BaseRepresentation
bin110010100111000000…
…011111100101100000
312012021011011211220100
4302213000133211200
51342242413011000
640544131342400
73632430254310
oct624700374540
9165234154810
1054341532000
1121056418328
12a646a51a00
135180371182
1428b7189440
151630acea00
hexca701f960

54341532000 has 576 divisors, whose sum is σ = 221626589184. Its totient is φ = 12352435200.

The previous prime is 54341531977. The next prime is 54341532017. The reversal of 54341532000 is 23514345.

54341532000 is a `hidden beast` number, since 5 + 43 + 415 + 3 + 200 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56195517 + ... + 56196483.

It is an arithmetic number, because the mean of its divisors is an integer number (384768384).

Almost surely, 254341532000 is an apocalyptic number.

54341532000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54341532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110813294592).

54341532000 is an abundant number, since it is smaller than the sum of its proper divisors (167285057184).

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

54341532000 is a wasteful number, since it uses less digits than its factorization.

54341532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 54341532000 in words is "fifty-four billion, three hundred forty-one million, five hundred thirty-two thousand".