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55190865600 = 263252131959263
BaseRepresentation
bin110011011001101000…
…011100011011000000
312021110100100110120100
4303121220130123000
51401012330144400
641204311442400
73662452421463
oct633150343300
9167410313510
1055190865600
1121451894222
12a843386400
135287308030
142957cb72da
15168044e100
hexcd9a1c6c0

55190865600 has 1008 divisors, whose sum is σ = 226997971200. Its totient is φ = 12604170240.

The previous prime is 55190865547. The next prime is 55190865607. The reversal of 55190865600 is 656809155.

It is a happy number.

55190865600 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 0 + 86 + 560 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55190865607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 209851069 + ... + 209851331.

It is an arithmetic number, because the mean of its divisors is an integer number (225196400).

Almost surely, 255190865600 is an apocalyptic number.

55190865600 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 55190865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113498985600).

55190865600 is an abundant number, since it is smaller than the sum of its proper divisors (171807105600).

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

55190865600 is a wasteful number, since it uses less digits than its factorization.

55190865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 55190865600 in words is "fifty-five billion, one hundred ninety million, eight hundred sixty-five thousand, six hundred".