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5494406400 = 283252713627
BaseRepresentation
bin1010001110111110…
…11111110100000000
3112011220200202122100
411013133133310000
542223032001100
62305112110400
7253104453360
oct50737376400
915156622570
105494406400
11236a4a393a
121094095400
13697405962
143a19dc9a0
15222567400
hex1477dfd00

5494406400 has 324 divisors, whose sum is σ = 22451639392. Its totient is φ = 1255772160.

The previous prime is 5494406387. The next prime is 5494406417. The reversal of 5494406400 is 46044945.

5494406400 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 4 + 0 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 396387 + ... + 410013.

Almost surely, 25494406400 is an apocalyptic number.

5494406400 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 5494406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11225819696).

5494406400 is an abundant number, since it is smaller than the sum of its proper divisors (16957232992).

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

5494406400 is a wasteful number, since it uses less digits than its factorization.

5494406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5494406400 is about 74124.2632341125. The cubic root of 5494406400 is about 1764.5755599446.

The spelling of 5494406400 in words is "five billion, four hundred ninety-four million, four hundred six thousand, four hundred".