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5476021873920 = 283551317294167
BaseRepresentation
bin100111110101111110001…
…0101101010110100000000
3201101111120101020211100000
41033223330111222310000
51204204343044431140
615351352201200000
71103425632633423
oct117537425526400
921344511224300
105476021873920
111821405651a34
12745358790000
13309504604050
1414d0802259ba
159769d234a30
hex4fafc56ad00

5476021873920 has 3456 divisors, whose sum is σ = 24096475952640. Its totient is φ = 1177194332160.

The previous prime is 5476021873901. The next prime is 5476021873921. The reversal of 5476021873920 is 293781206745.

It is a happy number.

5476021873920 is a `hidden beast` number, since 5 + 4 + 7 + 602 + 1 + 8 + 7 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5476021873921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81731669727 + ... + 81731669793.

It is an arithmetic number, because the mean of its divisors is an integer number (6972359940).

It is a 1-persistent number, because it is pandigital, but 2⋅5476021873920 = 10952043747840 is not.

Almost surely, 25476021873920 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 5476021873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048237976320).

5476021873920 is an abundant number, since it is smaller than the sum of its proper divisors (18620454078720).

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

5476021873920 is a wasteful number, since it uses less digits than its factorization.

5476021873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5476021873920 in words is "five trillion, four hundred seventy-six billion, twenty-one million, eight hundred seventy-three thousand, nine hundred twenty".