Search a number
-
+
13513689720 = 2332537538027
BaseRepresentation
bin11001001010111101…
…01000101001111000
31021212210101120021200
430211132220221320
5210134001032340
610112541134200
7655611316206
oct144536505170
937783346250
1013513689720
115805142113
12275185a360
13137493ac0b
14922a86076
155415c1330
hex3257a8a78

13513689720 has 48 divisors (see below), whose sum is σ = 43919492760. Its totient is φ = 3603650496.

The previous prime is 13513689703. The next prime is 13513689757. The reversal of 13513689720 is 2798631531.

13513689720 is a `hidden beast` number, since 1 + 3 + 513 + 68 + 9 + 72 + 0 = 666.

13513689720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18768654 + ... + 18769373.

Almost surely, 213513689720 is an apocalyptic number.

13513689720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13513689720 is an abundant number, since it is smaller than the sum of its proper divisors (30405803040).

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

13513689720 is a wasteful number, since it uses less digits than its factorization.

13513689720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37538044 (or 37538037 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13513689720 in words is "thirteen billion, five hundred thirteen million, six hundred eighty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 37538027 75076054 112614081 150152108 187690135 225228162 300304216 337842243 375380270 450456324 563070405 675684486 750760540 900912648 1126140810 1351368972 1501521080 1689211215 2252281620 2702737944 3378422430 4504563240 6756844860 13513689720