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5085472896 = 2735723357
BaseRepresentation
bin1001011110001111…
…00010100010000000
3111010102012210100000
410233013202202000
540403340113041
62200343200000
7240010543410
oct45707424200
914112183300
105085472896
11217a687069
12b9b146000
1363078707a
14363590640
151eb6dbbb6
hex12f1e2880

5085472896 has 192 divisors, whose sum is σ = 17344716480. Its totient is φ = 1452930048.

The previous prime is 5085472859. The next prime is 5085472919. The reversal of 5085472896 is 6982745805.

5085472896 is a `hidden beast` number, since 5 + 0 + 8 + 547 + 2 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206050 + ... + 229406.

It is an arithmetic number, because the mean of its divisors is an integer number (90337065).

Almost surely, 25085472896 is an apocalyptic number.

5085472896 is a gapful number since it is divisible by the number (56) 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 5085472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672358240).

5085472896 is an abundant number, since it is smaller than the sum of its proper divisors (12259243584).

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

5085472896 is an equidigital number, since it uses as much as digits as its factorization.

5085472896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23393 (or 23369 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5085472896 is about 71312.5016809816. The cubic root of 5085472896 is about 1719.6647192160.

The spelling of 5085472896 in words is "five billion, eighty-five million, four hundred seventy-two thousand, eight hundred ninety-six".