Search a number
-
+
12616380320 = 255557314149
BaseRepresentation
bin10111011111111111…
…01010111110100000
31012120020221112012012
423233333222332200
5201314243132240
65443524452052
7624434314625
oct135777527640
935506845165
1012616380320
1153946882a5
12254124a028
131260a770cb
1487982a34c
154dc926b65
hex2effeafa0

12616380320 has 48 divisors (see below), whose sum is σ = 29813653800. Its totient is φ = 5045289984.

The previous prime is 12616380317. The next prime is 12616380347. The reversal of 12616380320 is 2308361621.

It can be written as a sum of positive squares in 4 ways, for example, as 9866846224 + 2749534096 = 99332^2 + 52436^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884606 + ... + 898754.

Almost surely, 212616380320 is an apocalyptic number.

12616380320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12616380320 is an abundant number, since it is smaller than the sum of its proper divisors (17197273480).

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

12616380320 is a wasteful number, since it uses less digits than its factorization.

12616380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737 (or 19729 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12616380320 in words is "twelve billion, six hundred sixteen million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 5573 11146 14149 22292 27865 28298 44584 55730 56596 70745 89168 111460 113192 141490 178336 222920 226384 282980 445840 452768 565960 891680 1131920 2263840 78852377 157704754 315409508 394261885 630819016 788523770 1261638032 1577047540 2523276064 3154095080 6308190160 12616380320