Search a number
-
+
13612936460 = 22519233153749
BaseRepresentation
bin11001010110110010…
…01110110100001100
31022010201010211012212
430223121032310030
5210334402431320
610130444245552
7661225023254
oct145331166414
938121124185
1013612936460
115856169712
12277ab408b8
13138c3798b6
14931d1c964
1554a1779c5
hex32b64ed0c

13612936460 has 48 divisors (see below), whose sum is σ = 30221100000. Its totient is φ = 5136413184.

The previous prime is 13612936459. The next prime is 13612936499. The reversal of 13612936460 is 6463921631.

13612936460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 11666 + ... + 165414.

It is an arithmetic number, because the mean of its divisors is an integer number (629606250).

Almost surely, 213612936460 is an apocalyptic number.

13612936460 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 13612936460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110550000).

13612936460 is an abundant number, since it is smaller than the sum of its proper divisors (16608163540).

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

13612936460 is a wasteful number, since it uses less digits than its factorization.

13612936460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154010 (or 154008 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 13612936460 in words is "thirteen billion, six hundred twelve million, nine hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 233 380 466 932 1165 2330 4427 4660 8854 17708 22135 44270 88540 153749 307498 614996 768745 1537490 2921231 3074980 5842462 11684924 14606155 29212310 35823517 58424620 71647034 143294068 179117585 358235170 680646823 716470340 1361293646 2722587292 3403234115 6806468230 13612936460