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38628227484 = 223371138911941
BaseRepresentation
bin100011111110011010…
…111111100110011100
310200201001211021101000
4203332122333212130
51113102311234414
625425012550300
72535146342010
oct437632774634
9120631737330
1038628227484
111542269a050
1275a0622390
133847b08052
141c26326540
15101136ab09
hex8fe6bf99c

38628227484 has 192 divisors, whose sum is σ = 125190374400. Its totient is φ = 10006675200.

The previous prime is 38628227483. The next prime is 38628227527. The reversal of 38628227484 is 48472282683.

38628227484 is a `hidden beast` number, since 3 + 8 + 62 + 82 + 27 + 484 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38628227484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38628227483) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3228954 + ... + 3240894.

It is an arithmetic number, because the mean of its divisors is an integer number (652033200).

Almost surely, 238628227484 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 38628227484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62595187200).

38628227484 is an abundant number, since it is smaller than the sum of its proper divisors (86562146916).

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

38628227484 is a wasteful number, since it uses less digits than its factorization.

38628227484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12361 (or 12353 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 38628227484 in words is "thirty-eight billion, six hundred twenty-eight million, two hundred twenty-seven thousand, four hundred eighty-four".