Search a number
-
+
13487086920 = 233519311731103
BaseRepresentation
bin11001000111110010…
…01001110101001000
31021210221100000002210
430203321021311020
5210110143240140
610110151025120
7655136230056
oct144371116510
937727300083
1013487086920
1157a112202a
12274496b1a0
13136c285308
1491d31d1d6
1553e0b8d80
hex323e49d48

13487086920 has 256 divisors, whose sum is σ = 44258918400. Its totient is φ = 3275320320.

The previous prime is 13487086913. The next prime is 13487086973. The reversal of 13487086920 is 2968078431.

It is a self number, because there is not a number n which added to its sum of digits gives 13487086920.

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, 12227089 + ... + 12228191.

It is an arithmetic number, because the mean of its divisors is an integer number (172886400).

Almost surely, 213487086920 is an apocalyptic number.

13487086920 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 13487086920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129459200).

13487086920 is an abundant number, since it is smaller than the sum of its proper divisors (30771831480).

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

13487086920 is a wasteful number, since it uses less digits than its factorization.

13487086920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 13487086920 in words is "thirteen billion, four hundred eighty-seven million, eighty-six thousand, nine hundred twenty".