Search a number
-
+
660790462464 = 21134112912487
BaseRepresentation
bin10011001110110100010…
…11100100100000000000
32100011121121211111220000
421213122023210200000
541311244324244324
61223321332520000
765512001154006
oct11473213444000
92304547744800
10660790462464
1123526aa97820
12a8095480000
134a40a0ab362
1423da7adca76
15122c6bb19c9
hex99da2e4800

660790462464 has 480 divisors, whose sum is σ = 2227586961600. Its totient is φ = 193319239680.

The previous prime is 660790462433. The next prime is 660790462471. The reversal of 660790462464 is 464264097066.

It is a happy number.

660790462464 is a `hidden beast` number, since 6 + 6 + 0 + 7 + 9 + 0 + 4 + 624 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 660790462464.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52912029 + ... + 52924515.

It is an arithmetic number, because the mean of its divisors is an integer number (4640806170).

Almost surely, 2660790462464 is an apocalyptic number.

660790462464 is a gapful number since it is divisible by the number (64) 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 660790462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113793480800).

660790462464 is an abundant number, since it is smaller than the sum of its proper divisors (1566796499136).

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

660790462464 is a wasteful number, since it uses less digits than its factorization.

660790462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 660790462464 in words is "six hundred sixty billion, seven hundred ninety million, four hundred sixty-two thousand, four hundred sixty-four".