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8512423920 = 243357111331127
BaseRepresentation
bin1111110110110000…
…10100011111110000
3210222020121221101000
413323120110133300
5114413140031140
63524402442000
7420642260310
oct77330243760
923866557330
108512423920
1136790500a0
121796963300
13a58758140
145aa775440
1534c4b9a30
hex1fb6147f0

8512423920 has 1280 divisors, whose sum is σ = 40957378560. Its totient is φ = 1567641600.

The previous prime is 8512423919. The next prime is 8512423937. The reversal of 8512423920 is 293242158.

It is a happy number.

It is a super-2 number, since 2×85124239202 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67026897 + ... + 67027023.

It is an arithmetic number, because the mean of its divisors is an integer number (31997952).

Almost surely, 28512423920 is an apocalyptic number.

8512423920 is a gapful number since it is divisible by the number (80) 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 8512423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478689280).

8512423920 is an abundant number, since it is smaller than the sum of its proper divisors (32444954640).

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

8512423920 is a wasteful number, since it uses less digits than its factorization.

8512423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8512423920 is about 92262.7981366271. The cubic root of 8512423920 is about 2041.8213837013.

The spelling of 8512423920 in words is "eight billion, five hundred twelve million, four hundred twenty-three thousand, nine hundred twenty".