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5557094400 = 2113521121323
BaseRepresentation
bin1010010110011101…
…01000100000000000
3112100021122122102010
411023032220200000
542340104010100
62315231452520
7254465344254
oct51316504000
915307578363
105557094400
1123a1920300
1210b1087140
136a73b4250
143aa07a264
15227ceb750
hex14b3a8800

5557094400 has 864 divisors, whose sum is σ = 22691672640. Its totient is φ = 1189478400.

The previous prime is 5557094383. The next prime is 5557094429. The reversal of 5557094400 is 44907555.

It is a super-2 number, since 2×55570944002 = 61762596341022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 241612789 + ... + 241612811.

It is an arithmetic number, because the mean of its divisors is an integer number (26263510).

Almost surely, 25557094400 is an apocalyptic number.

5557094400 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 5557094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11345836320).

5557094400 is an abundant number, since it is smaller than the sum of its proper divisors (17134578240).

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

5557094400 is a wasteful number, since it uses less digits than its factorization.

5557094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 5557094400 is about 74545.9214176067. The cubic root of 5557094400 is about 1771.2611268317.

The spelling of 5557094400 in words is "five billion, five hundred fifty-seven million, ninety-four thousand, four hundred".