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88889472412272 = 24337201736374007
BaseRepresentation
bin10100001101100000110001…
…011011010110101001110000
3102122201202021011111122022000
4110031200301123112221300
543122331114414143042
6513015132045214000
724503023663650540
oct2415406133265160
9378652234448260
1088889472412272
11263608a4918744
129b77460561300
133a7a31a130c0c
1417d43b839d320
15a42344a5574c
hex50d8316d6a70

88889472412272 has 320 divisors, whose sum is σ = 291892705290240. Its totient is φ = 25371087888384.

The previous prime is 88889472412171. The next prime is 88889472412319. The reversal of 88889472412272 is 27221427498888.

88889472412272 is a `hidden beast` number, since 8 + 8 + 8 + 89 + 472 + 4 + 1 + 2 + 2 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 88889472412272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22183544893 + ... + 22183548899.

It is an arithmetic number, because the mean of its divisors is an integer number (912164704032).

Almost surely, 288889472412272 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 88889472412272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145946352645120).

88889472412272 is an abundant number, since it is smaller than the sum of its proper divisors (203003232877968).

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

88889472412272 is a wasteful number, since it uses less digits than its factorization.

88889472412272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685 (or 9673 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 72.

The spelling of 88889472412272 in words is "eighty-eight trillion, eight hundred eighty-nine billion, four hundred seventy-two million, four hundred twelve thousand, two hundred seventy-two".