Search a number
-
+
64985326199040 = 2835135098812903
BaseRepresentation
bin11101100011010100100110…
…10010001010000100000000
322112002112111010011022122210
432301222103102022010000
532004204422001332130
6350113502520302120
716455014651436012
oct1661522322120400
9275075433138583
1064985326199040
1119785138525835
127356712311940
132a351228683a0
14120944132c1b2
1577a63de465b0
hex3b1a9348a100

64985326199040 has 576 divisors, whose sum is σ = 224282583866880. Its totient is φ = 15941346263040.

The previous prime is 64985326198831. The next prime is 64985326199041. The reversal of 64985326199040 is 4099162358946.

It is a super-2 number, since 2×649853261990402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64985326199041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 22385574229 + ... + 22385577131.

It is an arithmetic number, because the mean of its divisors is an integer number (389379485880).

Almost surely, 264985326199040 is an apocalyptic number.

64985326199040 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 64985326199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112141291933440).

64985326199040 is an abundant number, since it is smaller than the sum of its proper divisors (159297257667840).

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

64985326199040 is a wasteful number, since it uses less digits than its factorization.

64985326199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 66.

The spelling of 64985326199040 in words is "sixty-four trillion, nine hundred eighty-five billion, three hundred twenty-six million, one hundred ninety-nine thousand, forty".