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8054112528 = 243571126903
BaseRepresentation
bin1111000000001000…
…00000000100010000
3202210022020022100000
413200010000010100
5112443323100103
63411111330000
7403405553430
oct74004000420
922708208300
108054112528
113463377a50
121689380900
139b480b377
145659522c0
15322138aa3
hex1e0100110

8054112528 has 240 divisors, whose sum is σ = 29144134656. Its totient is φ = 2091899520.

The previous prime is 8054112523. The next prime is 8054112533. The reversal of 8054112528 is 8252114508.

8054112528 is a `hidden beast` number, since 80 + 5 + 41 + 12 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (8054112523) and next prime (8054112533).

It is a super-2 number, since 2×80541125282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8054112492 and 8054112501.

It is not an unprimeable number, because it can be changed into a prime (8054112523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285925 + ... + 312827.

Almost surely, 28054112528 is an apocalyptic number.

8054112528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8054112528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572067328).

8054112528 is an abundant number, since it is smaller than the sum of its proper divisors (21090022128).

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

8054112528 is a wasteful number, since it uses less digits than its factorization.

8054112528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26944 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 8054112528 is about 89744.7075208338. The cubic root of 8054112528 is about 2004.4992481265.

The spelling of 8054112528 in words is "eight billion, fifty-four million, one hundred twelve thousand, five hundred twenty-eight".