Search a number
-
+
64682448680 = 23553121325153
BaseRepresentation
bin111100001111010111…
…111101011100101000
320011221211102211210102
4330033113331130220
52024432201324210
645414213204532
74446614512403
oct741727753450
9204854384712
1064682448680
1125482613063
1210652030748
13613a884295
1431b86d2d3a
151a3887eea5
hexf0f5fd728

64682448680 has 64 divisors (see below), whose sum is σ = 148409606160. Its totient is φ = 25362874368.

The previous prime is 64682448679. The next prime is 64682448703. The reversal of 64682448680 is 8684428646.

It can be written as a sum of positive squares in 8 ways, for example, as 18420461284 + 46261987396 = 135722^2 + 215086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2558984 + ... + 2584136.

Almost surely, 264682448680 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 64682448680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74204803080).

64682448680 is an abundant number, since it is smaller than the sum of its proper divisors (83727157480).

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

64682448680 is a wasteful number, since it uses less digits than its factorization.

64682448680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26430 (or 26426 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 56.

The spelling of 64682448680 in words is "sixty-four billion, six hundred eighty-two million, four hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 1213 2120 2426 4852 6065 9704 12130 24260 25153 48520 50306 64289 100612 125765 128578 201224 251530 257156 321445 503060 514312 642890 1006120 1285780 1333109 2571560 2666218 5332436 6665545 10664872 13331090 26662180 30510589 53324360 61021178 122042356 152552945 244084712 305105890 610211780 1220423560 1617061217 3234122434 6468244868 8085306085 12936489736 16170612170 32341224340 64682448680