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4764809816 = 2313195345497
BaseRepresentation
bin1000111000000000…
…10011101001011000
3110022001211102021122
410130000103221120
534224242403231
62104450224412
7226035133544
oct43400235130
913261742248
104764809816
11202567a158
12b0b885108
135ac2030c0
14332b5ca24
151cd49a77b
hex11c013a58

4764809816 has 64 divisors (see below), whose sum is σ = 10318946400. Its totient is φ = 2044044288.

The previous prime is 4764809809. The next prime is 4764809839. The reversal of 4764809816 is 6189084674.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81980 + ... + 127476.

Almost surely, 24764809816 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 4764809816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159473200).

4764809816 is an abundant number, since it is smaller than the sum of its proper divisors (5554136584).

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

4764809816 is a wasteful number, since it uses less digits than its factorization.

4764809816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45588 (or 45584 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The square root of 4764809816 is about 69027.6018415822. The cubic root of 4764809816 is about 1682.7329167452.

The spelling of 4764809816 in words is "four billion, seven hundred sixty-four million, eight hundred nine thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 19 26 38 52 53 76 104 106 152 212 247 424 494 689 988 1007 1378 1976 2014 2756 4028 5512 8056 13091 26182 45497 52364 90994 104728 181988 363976 591461 864443 1182922 1728886 2365844 2411341 3457772 4731688 4822682 6915544 9645364 11237759 19290728 22475518 31347433 44951036 45815479 62694866 89902072 91630958 125389732 183261916 250779464 366523832 595601227 1191202454 2382404908 4764809816