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55718040317472 = 253213237134726263
BaseRepresentation
bin11001010101100110111100…
…00000000010111000100000
321022021121000000210212111100
430222303132000002320200
524300341021310124342
6314300303033514400
714510331660241461
oct1452633600027040
9238247000725440
1055718040317472
1116831985213825
1262ba642b72a00
13251225b62c930
14da8aa61b8d68
1566954a107e4c
hex32acde002e20

55718040317472 has 576 divisors, whose sum is σ = 181090550624256. Its totient is φ = 16120447580160.

The previous prime is 55718040317453. The next prime is 55718040317629. The reversal of 55718040317472 is 27471304081755.

55718040317472 is a `hidden beast` number, since 5 + 5 + 7 + 180 + 403 + 17 + 47 + 2 = 666.

55718040317472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2121528213 + ... + 2121554475.

It is an arithmetic number, because the mean of its divisors is an integer number (314393317056).

Almost surely, 255718040317472 is an apocalyptic number.

55718040317472 is a gapful number since it is divisible by the number (52) 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 55718040317472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90545275312128).

55718040317472 is an abundant number, since it is smaller than the sum of its proper divisors (125372510306784).

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

55718040317472 is a wasteful number, since it uses less digits than its factorization.

55718040317472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26733 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 55718040317472 in words is "fifty-five trillion, seven hundred eighteen billion, forty million, three hundred seventeen thousand, four hundred seventy-two".