Search a number
-
+
64827072846 = 2332861419609
BaseRepresentation
bin111100010111111111…
…101010000101001110
320012022220120111212000
4330113333222011032
52030231212312341
645440421053130
74453322012244
oct742777520516
9205286514760
1064827072846
1125547213368
12106925571a6
136161820303
1431cd9bc794
151a463eb8b6
hexf17fea14e

64827072846 has 32 divisors (see below), whose sum is σ = 144110858400. Its totient is φ = 21601419840.

The previous prime is 64827072803. The next prime is 64827072851.

It is a happy number.

64827072846 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 64827072792 and 64827072801.

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, 55311 + ... + 364298.

It is an arithmetic number, because the mean of its divisors is an integer number (4503464325).

Almost surely, 264827072846 is an apocalyptic number.

64827072846 is an abundant number, since it is smaller than the sum of its proper divisors (79283785554).

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

64827072846 is a wasteful number, since it uses less digits than its factorization.

64827072846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422481 (or 422475 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 64827072846 in words is "sixty-four billion, eight hundred twenty-seven million, seventy-two thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 2861 5722 8583 17166 25749 51498 77247 154494 419609 839218 1258827 2517654 3776481 7552962 11329443 22658886 1200501349 2401002698 3601504047 7203008094 10804512141 21609024282 32413536423 64827072846