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54190227844872 = 233378314919115173
BaseRepresentation
bin11000101001001001001010…
…10001111110111100001000
321002212112110011002201212000
430110210211101332330020
524100323041312013442
6311130351430151000
714262054235425120
oct1424444521767410
9232775404081760
1054190227844872
11162a2a45978099
1260b25197b2460
132431169106762
14d54b6cc55c80
1563e92b1dad4c
hex31492547ef08

54190227844872 has 512 divisors, whose sum is σ = 176202915840000. Its totient is φ = 15113176335360.

The previous prime is 54190227844811. The next prime is 54190227844901. The reversal of 54190227844872 is 27844872209145.

54190227844872 is a `hidden beast` number, since 5 + 41 + 90 + 2 + 27 + 8 + 4 + 487 + 2 = 666.

54190227844872 is digitally balanced in base 5, 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3571483078 + ... + 3571498250.

It is an arithmetic number, because the mean of its divisors is an integer number (344146320000).

Almost surely, 254190227844872 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 54190227844872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88101457920000).

54190227844872 is an abundant number, since it is smaller than the sum of its proper divisors (122012687995128).

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

54190227844872 is a wasteful number, since it uses less digits than its factorization.

54190227844872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 54190227844872 in words is "fifty-four trillion, one hundred ninety billion, two hundred twenty-seven million, eight hundred forty-four thousand, eight hundred seventy-two".