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55643695937280 = 28325112317125927
BaseRepresentation
bin11001010011011100011101…
…01110101111011100000000
321022000111002211202001100200
430221232032232233130000
524243131242124443110
6314202205551445200
714502060441365403
oct1451561656573400
9238014084661320
1055643695937280
11168033a4801600
1262a8155226800
132508241127619
14da5252605d3a
156676483e86c0
hex329b8ebaf700

55643695937280 has 648 divisors, whose sum is σ = 212283661445856. Its totient is φ = 13446720798720.

The previous prime is 55643695937251. The next prime is 55643695937287. The reversal of 55643695937280 is 8273959634655.

55643695937280 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 3 + 6 + 9 + 593 + 7 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 55643695937199 and 55643695937208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55643695937287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 441809677 + ... + 441935603.

It is an arithmetic number, because the mean of its divisors is an integer number (327598242972).

Almost surely, 255643695937280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55643695937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106141830722928).

55643695937280 is an abundant number, since it is smaller than the sum of its proper divisors (156639965508576).

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

55643695937280 is a wasteful number, since it uses less digits than its factorization.

55643695937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126293 (or 126265 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 55643695937280 in words is "fifty-five trillion, six hundred forty-three billion, six hundred ninety-five million, nine hundred thirty-seven thousand, two hundred eighty".