Search a number
-
+
13360573304 = 23131014992549
BaseRepresentation
bin11000111000101101…
…00010101101111000
31021111010021110001022
430130112202231320
5204330301321204
610045431242012
7652041666521
oct143426425570
937433243038
1013360573304
115736771521
12270a519308
13134bcba6a0
1490a5c9848
15532e285be
hex31c5a2b78

13360573304 has 64 divisors (see below), whose sum is σ = 27310500000. Its totient is φ = 6090739200.

The previous prime is 13360573283. The next prime is 13360573307. The reversal of 13360573304 is 40337506331.

13360573304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13360573307) by changing a digit.

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, 5240222 + ... + 5242770.

Almost surely, 213360573304 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 13360573304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655250000).

13360573304 is an abundant number, since it is smaller than the sum of its proper divisors (13949926696).

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

13360573304 is a wasteful number, since it uses less digits than its factorization.

13360573304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 35.

The spelling of 13360573304 in words is "thirteen billion, three hundred sixty million, five hundred seventy-three thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 499 808 998 1313 1996 2549 2626 3992 5098 5252 6487 10196 10504 12974 20392 25948 33137 50399 51896 66274 100798 132548 201596 257449 265096 403192 514898 655187 1029796 1271951 1310374 2059592 2543902 2620748 3346837 5087804 5241496 6693674 10175608 13387348 16535363 26774696 33070726 66141452 128467051 132282904 256934102 513868204 1027736408 1670071663 3340143326 6680286652 13360573304