Search a number
-
+
64342040000 = 265472397103
BaseRepresentation
bin111011111011000101…
…011001110111000000
320011002002220021212112
4323323011121313000
52023233030240000
645320333114452
74435312213310
oct737305316700
9204062807775
1064342040000
1125318449a77
1210578028a28
1360b51a8924
143185401440
151a18a3d235
hexefb159dc0

64342040000 has 560 divisors, whose sum is σ = 194095469568. Its totient is φ = 20680704000.

The previous prime is 64342039997. The next prime is 64342040033. The reversal of 64342040000 is 4024346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×643420400002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 624679949 + ... + 624680051.

Almost surely, 264342040000 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 64342040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97047734784).

64342040000 is an abundant number, since it is smaller than the sum of its proper divisors (129753429568).

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

64342040000 is a wasteful number, since it uses less digits than its factorization.

64342040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 64342040000 its reverse (4024346), we get a palindrome (64346064346).

The spelling of 64342040000 in words is "sixty-four billion, three hundred forty-two million, forty thousand".