Search a number
-
+
13658970906 = 2327227477553
BaseRepresentation
bin11001011100010001…
…10101101100011010
31022020220202121121100
430232020311230122
5210433144032111
610135211052230
7662324223420
oct145610655432
938226677540
1013658970906
11587a151009
122792441076
131398a77009
149380a3110
1554e21c756
hex32e235b1a

13658970906 has 48 divisors (see below), whose sum is σ = 33971281344. Its totient is φ = 3885363072.

The previous prime is 13658970893. The next prime is 13658970929. The reversal of 13658970906 is 60907985631.

13658970906 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 (54) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 210175 + ... + 267378.

It is an arithmetic number, because the mean of its divisors is an integer number (707735028).

Almost surely, 213658970906 is an apocalyptic number.

13658970906 is an abundant number, since it is smaller than the sum of its proper divisors (20312310438).

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

13658970906 is a wasteful number, since it uses less digits than its factorization.

13658970906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477795 (or 477792 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13658970906 in words is "thirteen billion, six hundred fifty-eight million, nine hundred seventy thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 9534 14301 28602 477553 955106 1432659 2865318 3342871 4297977 6685742 8595954 10028613 20057226 30085839 60171678 108404531 216809062 325213593 650427186 758831717 975640779 1517663434 1951281558 2276495151 4552990302 6829485453 13658970906