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54326076000 = 253537719109
BaseRepresentation
bin110010100110000101…
…100010001001100000
312012020002002121020220
4302212011202021200
51342224433413000
640542420203040
73632152012140
oct624605421140
9165202077226
1054326076000
1121048720a79
12a641839480
13517a0bc101
1428b50c4920
15162e57a1a0
hexca6162260

54326076000 has 384 divisors, whose sum is σ = 206284216320. Its totient is φ = 12241152000.

The previous prime is 54326075977. The next prime is 54326076011. The reversal of 54326076000 is 67062345.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5959446 + ... + 5968554.

It is an arithmetic number, because the mean of its divisors is an integer number (537198480).

Almost surely, 254326076000 is an apocalyptic number.

54326076000 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 54326076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103142108160).

54326076000 is an abundant number, since it is smaller than the sum of its proper divisors (151958140320).

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

54326076000 is a wasteful number, since it uses less digits than its factorization.

54326076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 54326076000 in words is "fifty-four billion, three hundred twenty-six million, seventy-six thousand".