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55944038400 = 211352312379
BaseRepresentation
bin110100000110100001…
…100100100000000000
312100101211120121102020
4310012201210200000
51404033133212100
641411134521440
74020226323525
oct640641444000
9170354517366
1055944038400
11217a8a51088
12aa13666280
135377373a03
1429c9d3314c
1516c66265a0
hexd06864800

55944038400 has 432 divisors, whose sum is σ = 191605705200. Its totient is φ = 14399078400.

The previous prime is 55944038357. The next prime is 55944038441. The reversal of 55944038400 is 483044955.

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, 147609411 + ... + 147609789.

It is an arithmetic number, because the mean of its divisors is an integer number (443531725).

Almost surely, 255944038400 is an apocalyptic number.

55944038400 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 55944038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95802852600).

55944038400 is an abundant number, since it is smaller than the sum of its proper divisors (135661666800).

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

55944038400 is a wasteful number, since it uses less digits than its factorization.

55944038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 55944038400 in words is "fifty-five billion, nine hundred forty-four million, thirty-eight thousand, four hundred".