Search a number
-
+
10609389072 = 243415315347
BaseRepresentation
bin10011110000101111…
…00110111000010000
31000101101102210210000
421320113212320100
5133212000422242
64512432010000
7523624214322
oct117027467020
930341383700
1010609389072
1145547a6047
122081090900
131001022819
14729071612
15421632a4c
hex2785e6e10

10609389072 has 100 divisors (see below), whose sum is σ = 30732453136. Its totient is φ = 3533492160.

The previous prime is 10609389059. The next prime is 10609389079. The reversal of 10609389072 is 27098390601.

10609389072 is a `hidden beast` number, since 1 + 0 + 609 + 38 + 9 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×106093890722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10609389079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1981503 + ... + 1986849.

Almost surely, 210609389072 is an apocalyptic number.

10609389072 is a gapful number since it is divisible by the number (12) 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 10609389072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366226568).

10609389072 is an abundant number, since it is smaller than the sum of its proper divisors (20123064064).

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

10609389072 is a wasteful number, since it uses less digits than its factorization.

10609389072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 10609389072 in words is "ten billion, six hundred nine million, three hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1531 3062 4593 5347 6124 9186 10694 12248 13779 16041 18372 21388 24496 27558 32082 36744 41337 42776 48123 55116 64164 73488 82674 85552 96246 110232 124011 128328 144369 165348 192492 220464 248022 256656 288738 330696 384984 433107 496044 577476 661392 769968 866214 992088 1154952 1732428 1984176 2309904 3464856 6929712 8186257 16372514 24558771 32745028 49117542 65490056 73676313 98235084 130980112 147352626 196470168 221028939 294705252 392940336 442057878 589410504 663086817 884115756 1178821008 1326173634 1768231512 2652347268 3536463024 5304694536 10609389072