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55922442871680 = 27365721117103127
BaseRepresentation
bin11001011011100011101010…
…10101111010001110000000
321100000010121012021111000000
430231301311111322032000
524312213130333343210
6314534225434000000
714531156160262500
oct1455616525721600
9240003535244000
1055922442871680
1116900636119080
126332188b76000
132528604a97568
14db4936c7ba00
1566ea0ed1cac0
hex32dc7557a380

55922442871680 has 5376 divisors, whose sum is σ = 274083889397760. Its totient is φ = 10745242583040.

The previous prime is 55922442871657. The next prime is 55922442871693. The reversal of 55922442871680 is 8617824422955.

55922442871680 is a `hidden beast` number, since 5 + 5 + 9 + 22 + 442 + 8 + 7 + 168 + 0 = 666.

55922442871680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 440334195777 + ... + 440334195903.

Almost surely, 255922442871680 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 55922442871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137041944698880).

55922442871680 is an abundant number, since it is smaller than the sum of its proper divisors (218161446526080).

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

55922442871680 is a wasteful number, since it uses less digits than its factorization.

55922442871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 55922442871680 in words is "fifty-five trillion, nine hundred twenty-two billion, four hundred forty-two million, eight hundred seventy-one thousand, six hundred eighty".