Search a number
-
+
28342654704 = 24337132311789
BaseRepresentation
bin11010011001010110…
…101001011011110000
32201011020201001001000
4122121112221123300
5431021204422304
621004225242000
72022233406240
oct323126513360
981136631030
1028342654704
1111024764a81
1255aba93300
132898c01800
14152c2a7b20
15b0d39d939
hex6995a96f0

28342654704 has 480 divisors, whose sum is σ = 103983820800. Its totient is φ = 7229813760.

The previous prime is 28342654633. The next prime is 28342654727. The reversal of 28342654704 is 40745624382.

It is a happy number.

28342654704 is a `hidden beast` number, since 2 + 83 + 4 + 26 + 547 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28342654704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15841842 + ... + 15843630.

It is an arithmetic number, because the mean of its divisors is an integer number (216632960).

Almost surely, 228342654704 is an apocalyptic number.

28342654704 is a gapful number since it is divisible by the number (24) 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 28342654704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51991910400).

28342654704 is an abundant number, since it is smaller than the sum of its proper divisors (75641166096).

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

28342654704 is a wasteful number, since it uses less digits than its factorization.

28342654704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 28342654704 in words is "twenty-eight billion, three hundred forty-two million, six hundred fifty-four thousand, seven hundred four".