Search a number
-
+
15468770460 = 223511134993613
BaseRepresentation
bin11100110100000001…
…01011010010011100
31110221001012221212110
432122000223102130
5223140001123320
611034541234020
71055221244103
oct163200532234
943831187773
1015468770460
116618799220
122bb8562910
1315c69b8620
14a6a5ab03a
1560805e5e0
hex39a02b49c

15468770460 has 192 divisors, whose sum is σ = 51000768000. Its totient is φ = 3453649920.

The previous prime is 15468770453. The next prime is 15468770479. The reversal of 15468770460 is 6407786451.

It is a super-2 number, since 2×154687704602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4279614 + ... + 4283226.

It is an arithmetic number, because the mean of its divisors is an integer number (265629000).

Almost surely, 215468770460 is an apocalyptic number.

15468770460 is a gapful number since it is divisible by the number (10) 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 15468770460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25500384000).

15468770460 is an abundant number, since it is smaller than the sum of its proper divisors (35531997540).

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

15468770460 is a wasteful number, since it uses less digits than its factorization.

15468770460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 15468770460 in words is "fifteen billion, four hundred sixty-eight million, seven hundred seventy thousand, four hundred sixty".