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54313504000 = 28537172839
BaseRepresentation
bin110010100101010101…
…100100110100000000
312012012012102212201021
4302211111210310000
51342213224112000
640541250515224
73631640111110
oct624525446400
9165165385637
1054313504000
1121041614498
12a639595b14
135177609962
1428b3571040
15162d3e511a
hexca5564d00

54313504000 has 432 divisors, whose sum is σ = 164457296640. Its totient is φ = 17505484800.

The previous prime is 54313503977. The next prime is 54313504001. The reversal of 54313504000 is 40531345.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54313504001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64735581 + ... + 64736419.

Almost surely, 254313504000 is an apocalyptic number.

54313504000 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 54313504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82228648320).

54313504000 is an abundant number, since it is smaller than the sum of its proper divisors (110143792640).

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

54313504000 is an equidigital number, since it uses as much as digits as its factorization.

54313504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 54313504000 in words is "fifty-four billion, three hundred thirteen million, five hundred four thousand".