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5046216192 = 29332359269
BaseRepresentation
bin1001011001100011…
…10010011000000000
3111000200100100021000
410230301302120000
540313312404232
62152421532000
7236023062363
oct45461623000
914020310230
105046216192
11215a503a06
12b89b74000
136255c0954
1435c2920da
151e803527c
hex12cc72600

5046216192 has 320 divisors, whose sum is σ = 15909696000. Its totient is φ = 1575788544.

The previous prime is 5046216191. The next prime is 5046216209. The reversal of 5046216192 is 2916126405.

5046216192 is a `hidden beast` number, since 5 + 0 + 462 + 1 + 6 + 192 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5046216191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18759034 + ... + 18759302.

It is an arithmetic number, because the mean of its divisors is an integer number (49717800).

Almost surely, 25046216192 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 5046216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954848000).

5046216192 is an abundant number, since it is smaller than the sum of its proper divisors (10863479808).

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

5046216192 is a wasteful number, since it uses less digits than its factorization.

5046216192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5046216192 is about 71036.7242487996. The cubic root of 5046216192 is about 1715.2283684140.

The spelling of 5046216192 in words is "five billion, forty-six million, two hundred sixteen thousand, one hundred ninety-two".