Search a number
-
+
2064300421248 = 2732132172191931
BaseRepresentation
bin11110000010100001111…
…001001011000010000000
321022100022122102200122100
4132002201321023002000
5232310141401434443
64220154310110400
7302066201032032
oct36024171130200
97270278380570
102064300421248
11726512853a9a
122940aa04b400
1311c87cc2a700
1471cac539c52
1538a6d0493d3
hex1e0a1e4b080

2064300421248 has 864 divisors, whose sum is σ = 7196314179600. Its totient is φ = 566049669120.

The previous prime is 2064300421199. The next prime is 2064300421259. The reversal of 2064300421248 is 8421240034602.

2064300421248 is a `hidden beast` number, since 2 + 0 + 6 + 430 + 0 + 4 + 212 + 4 + 8 = 666.

It is a super-2 number, since 2×20643004212482 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1069030843 + ... + 1069032773.

Almost surely, 22064300421248 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 2064300421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598157089800).

2064300421248 is an abundant number, since it is smaller than the sum of its proper divisors (5132013758352).

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

2064300421248 is a wasteful number, since it uses less digits than its factorization.

2064300421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2064300421248 in words is "two trillion, sixty-four billion, three hundred million, four hundred twenty-one thousand, two hundred forty-eight".