Search a number
-
+
666536942762496 = 2934133162116421
BaseRepresentation
bin1001011110001101100011100…
…1101100111111101000000000
310020102000022100120100201220000
42113203120321230333220000
51144331020124321344441
610321334502212520000
7260252463542134401
oct22743307154775000
93212008316321800
10666536942762496
11183419803675173
126290b3a9620000
13227bc219413240
14ba847bb11d9a8
15520d24ec252b6
hex25e3639b3fa00

666536942762496 has 800 divisors, whose sum is σ = 2212283429131776. Its totient is φ = 198409678848000.

The previous prime is 666536942762447. The next prime is 666536942762497. The reversal of 666536942762496 is 694267249635666.

666536942762496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (666536942762497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103805781366 + ... + 103805787786.

Almost surely, 2666536942762496 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 666536942762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106141714565888).

666536942762496 is an abundant number, since it is smaller than the sum of its proper divisors (1545746486369280).

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

666536942762496 is a wasteful number, since it uses less digits than its factorization.

666536942762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12706 (or 12681 counting only the distinct ones).

The product of its digits is 25395793920, while the sum is 81.

The spelling of 666536942762496 in words is "six hundred sixty-six trillion, five hundred thirty-six billion, nine hundred forty-two million, seven hundred sixty-two thousand, four hundred ninety-six".