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54189636028848 = 2434416721172139
BaseRepresentation
bin11000101001001000000100…
…00000011000100110110000
321002212110220220111100220000
430110210002000120212300
524100320333310410343
6311130213005350000
714262033461163015
oct1424440200304660
9232773826440800
1054189636028848
11162a27718a9a41
1260b2393568300
1324310a3614c68
14d54b143dd70c
1563e8e4287ed3
hex3149020189b0

54189636028848 has 400 divisors, whose sum is σ = 163838991550080. Its totient is φ = 17277108710400.

The previous prime is 54189636028831. The next prime is 54189636028897. The reversal of 54189636028848 is 84882063698145.

54189636028848 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 9 + 6 + 3 + 602 + 8 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 751147563 + ... + 751219701.

Almost surely, 254189636028848 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 54189636028848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81919495775040).

54189636028848 is an abundant number, since it is smaller than the sum of its proper divisors (109649355521232).

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

54189636028848 is a wasteful number, since it uses less digits than its factorization.

54189636028848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72478 (or 72463 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 54189636028848 in words is "fifty-four trillion, one hundred eighty-nine billion, six hundred thirty-six million, twenty-eight thousand, eight hundred forty-eight".