Search a number
-
+
13189943664 = 243330532277
BaseRepresentation
bin11000100100010111…
…01001000101110000
31021001020012120012000
430102023221011300
5204003111144124
610020454134000
7644600446152
oct142213510560
937036176160
1013189943664
115659419997
122681351300
1313228478c1
148d1a90ad2
15522e716c9
hex3122e9170

13189943664 has 40 divisors (see below), whose sum is σ = 37860024720. Its totient is φ = 4396647744.

The previous prime is 13189943587. The next prime is 13189943687. The reversal of 13189943664 is 46634998131.

13189943664 is a `hidden beast` number, since 13 + 189 + 94 + 366 + 4 = 666.

It is a super-2 number, since 2×131899436642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13189943664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15265707 + ... + 15266570.

It is an arithmetic number, because the mean of its divisors is an integer number (946500618).

Almost surely, 213189943664 is an apocalyptic number.

It is an amenable number.

13189943664 is an abundant number, since it is smaller than the sum of its proper divisors (24670081056).

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

13189943664 is a wasteful number, since it uses less digits than its factorization.

13189943664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30532294 (or 30532282 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13189943664 in words is "thirteen billion, one hundred eighty-nine million, nine hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 30532277 61064554 91596831 122129108 183193662 244258216 274790493 366387324 488516432 549580986 732774648 824371479 1099161972 1465549296 1648742958 2198323944 3297485916 4396647888 6594971832 13189943664