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4716093312 = 273272392447
BaseRepresentation
bin1000110010001100…
…11101111110000000
3110011200011100210200
410121012131332000
534124304441222
62055550125200
7224604063120
oct43106357600
913150140720
104716093312
112000125787
12ab74b0800
135a20a6c78
1432a4bac80
151c9075eac
hex11919df80

4716093312 has 192 divisors, whose sum is σ = 15581030400. Its totient is φ = 1341268992.

The previous prime is 4716093289. The next prime is 4716093337. The reversal of 4716093312 is 2133906174.

4716093312 is a `hidden beast` number, since 4 + 7 + 1 + 609 + 33 + 12 = 666.

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

It is a super-2 number, since 2×47160933122 = 44483072254982258688, which 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926073 + ... + 1928519.

It is an arithmetic number, because the mean of its divisors is an integer number (81151200).

Almost surely, 24716093312 is an apocalyptic number.

4716093312 is a gapful number since it is divisible by the number (42) 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 4716093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790515200).

4716093312 is an abundant number, since it is smaller than the sum of its proper divisors (10864937088).

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

4716093312 is a wasteful number, since it uses less digits than its factorization.

4716093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4716093312 is about 68673.8182424714. The cubic root of 4716093312 is about 1676.9783781400.

Adding to 4716093312 its reverse (2133906174), we get a palindrome (6849999486).

The spelling of 4716093312 in words is "four billion, seven hundred sixteen million, ninety-three thousand, three hundred twelve".