Search a number
-
+
13123362616 = 23713137131581
BaseRepresentation
bin11000011100011011…
…01001111100111000
31020212120220220011021
430032031221330320
5203334040100431
610010115112224
7643131512260
oct141615517470
936776826137
1013123362616
115624883631
122662ba2674
131311b05330
148c6cbc7a0
1551c1bdb11
hex30e369f38

13123362616 has 64 divisors (see below), whose sum is σ = 30505970880. Its totient is φ = 5153725440.

The previous prime is 13123362611. The next prime is 13123362617. The reversal of 13123362616 is 61626332131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123362611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33946 + ... + 165526.

It is an arithmetic number, because the mean of its divisors is an integer number (476655795).

Almost surely, 213123362616 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 13123362616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252985440).

13123362616 is an abundant number, since it is smaller than the sum of its proper divisors (17382608264).

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

13123362616 is a wasteful number, since it uses less digits than its factorization.

13123362616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131744 (or 131740 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

Adding to 13123362616 its reverse (61626332131), we get a palindrome (74749694747).

The spelling of 13123362616 in words is "thirteen billion, one hundred twenty-three million, three hundred sixty-two thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 137 182 274 364 548 728 959 1096 1781 1918 3562 3836 7124 7672 12467 14248 24934 49868 99736 131581 263162 526324 921067 1052648 1710553 1842134 3421106 3684268 6842212 7368536 11973871 13684424 18026597 23947742 36053194 47895484 72106388 95790968 126186179 144212776 234345761 252372358 468691522 504744716 937383044 1009489432 1640420327 1874766088 3280840654 6561681308 13123362616