Search a number
-
+
64769150223360 = 21034511314310651
BaseRepresentation
bin11101011101000001111100…
…01100010000010000000000
322111022212111102220221010000
432232200332030100100000
531442134204424121420
6345430311543040000
716433262631114032
oct1656407614202000
9274285442827100
1064769150223360
11197014958556a0
127320841440000
132a1a92119aa8b
1411dcbb4b8bc52
15774bda81a690
hex3ae83e310400

64769150223360 has 1760 divisors, whose sum is σ = 267466578407424. Its totient is φ = 14840340480000.

The previous prime is 64769150223347. The next prime is 64769150223377. The reversal of 64769150223360 is 6332205196746.

64769150223360 is a `hidden beast` number, since 6 + 4 + 7 + 6 + 9 + 1 + 50 + 223 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-3 number, since 3×647691502233603 (a number of 42 digits) contains 333 as substring.

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 = 64769150223297 and 64769150223306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6081034035 + ... + 6081044685.

Almost surely, 264769150223360 is an apocalyptic number.

64769150223360 is a gapful number since it is divisible by the number (60) 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 64769150223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133733289203712).

64769150223360 is an abundant number, since it is smaller than the sum of its proper divisors (202697428184064).

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

64769150223360 is a wasteful number, since it uses less digits than its factorization.

64769150223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 64769150223360 in words is "sixty-four trillion, seven hundred sixty-nine billion, one hundred fifty million, two hundred twenty-three thousand, three hundred sixty".