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53374754400 = 253521119971097
BaseRepresentation
bin110001101101011000…
…100001111001100000
312002202210000110100120
4301231120201321200
51333302414120100
640304154120240
73566450632602
oct615530417140
9162683013316
1053374754400
11206aa725a80
12a417120080
135057c96916
142824a09172
1515c5cb20a0
hexc6d621e60

53374754400 has 576 divisors, whose sum is σ = 201744587520. Its totient is φ = 12120883200.

The previous prime is 53374754399. The next prime is 53374754441. The reversal of 53374754400 is 445747335.

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, 48654652 + ... + 48655748.

It is an arithmetic number, because the mean of its divisors is an integer number (350251020).

Almost surely, 253374754400 is an apocalyptic number.

53374754400 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 53374754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100872293760).

53374754400 is an abundant number, since it is smaller than the sum of its proper divisors (148369833120).

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

53374754400 is a wasteful number, since it uses less digits than its factorization.

53374754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 42.

The spelling of 53374754400 in words is "fifty-three billion, three hundred seventy-four million, seven hundred fifty-four thousand, four hundred".