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69427814400 = 213325275381
BaseRepresentation
bin100000010101000111…
…0000110000000000000
320122012112200101210100
41000222032012000000
52114142010030100
651521131002400
75005325454030
oct1005216060000
9218175611710
1069427814400
112749821160a
1211557299400
136715a39ca9
143508a2d8c0
151c15289400
hex102a386000

69427814400 has 504 divisors, whose sum is σ = 284270738544. Its totient is φ = 15866265600.

The previous prime is 69427814383. The next prime is 69427814447. The reversal of 69427814400 is 441872496.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12899710 + ... + 12905090.

Almost surely, 269427814400 is an apocalyptic number.

69427814400 is a gapful number since it is divisible by the number (60) 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 69427814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142135369272).

69427814400 is an abundant number, since it is smaller than the sum of its proper divisors (214842924144).

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

69427814400 is a wasteful number, since it uses less digits than its factorization.

69427814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 69427814400 in words is "sixty-nine billion, four hundred twenty-seven million, eight hundred fourteen thousand, four hundred".