Search a number
-
+
15223748960 = 255713592633
BaseRepresentation
bin11100010110110011…
…11111100101100000
31110021222011120120002
432023121333211200
5222134234431320
610554345435132
71046154505520
oct161331774540
943258146502
1015223748960
116502455a12
122b4a49baa8
131587cc9ca4
14a45c29680
155e17b0675
hex38b67f960

15223748960 has 48 divisors (see below), whose sum is σ = 41104125216. Its totient is φ = 5219570688.

The previous prime is 15223748941. The next prime is 15223748971. The reversal of 15223748960 is 6984732251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6795197 + ... + 6797436.

It is an arithmetic number, because the mean of its divisors is an integer number (856335942).

It is a 1-persistent number, because it is pandigital, but 2⋅15223748960 = 30447497920 is not.

Almost surely, 215223748960 is an apocalyptic number.

15223748960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15223748960 is an abundant number, since it is smaller than the sum of its proper divisors (25880376256).

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

15223748960 is a wasteful number, since it uses less digits than its factorization.

15223748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13592655 (or 13592647 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 15223748960 in words is "fifteen billion, two hundred twenty-three million, seven hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 13592633 27185266 54370532 67963165 95148431 108741064 135926330 190296862 217482128 271852660 380593724 434964256 475742155 543705320 761187448 951484310 1087410640 1522374896 1902968620 2174821280 3044749792 3805937240 7611874480 15223748960