Search a number
-
+
6936250464 = 25321121361251
BaseRepresentation
bin1100111010110111…
…01100100001100000
3122220101210000212100
412131123230201200
5103201140003324
63104135530400
7333613104363
oct63533544140
918811700770
106936250464
112a3a372700
121416b29a00
13867045420
1449b2c40da
152a8e254c9
hex19d6ec860

6936250464 has 432 divisors, whose sum is σ = 23826256272. Its totient is φ = 1900800000.

The previous prime is 6936250379. The next prime is 6936250469. The reversal of 6936250464 is 4640526396.

It is a super-2 number, since 2×69362504642 = 96223140998680430592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6936250469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27634339 + ... + 27634589.

It is an arithmetic number, because the mean of its divisors is an integer number (55153371).

Almost surely, 26936250464 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 6936250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913128136).

6936250464 is an abundant number, since it is smaller than the sum of its proper divisors (16890005808).

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

6936250464 is a wasteful number, since it uses less digits than its factorization.

6936250464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6936250464 is about 83284.1549395802. The cubic root of 6936250464 is about 1907.1063943059.

The spelling of 6936250464 in words is "six billion, nine hundred thirty-six million, two hundred fifty thousand, four hundred sixty-four".