Search a number
-
+
134645579838 = 232711712913627
BaseRepresentation
bin111110101100110000…
…0001000000000111110
3110212112200102011010100
41331121200020000332
54201223232023323
6141504430021530
712504433354620
oct1753140100076
9425480364110
10134645579838
1152114a13010
12221186478a6
13c90a490343
14673446cc10
153780b0b943
hex1f5980803e

134645579838 has 96 divisors (see below), whose sum is σ = 363795644160. Its totient is φ = 34965406080.

The previous prime is 134645579833. The next prime is 134645579843. The reversal of 134645579838 is 838975546431.

134645579838 is a `hidden beast` number, since 1 + 3 + 46 + 4 + 557 + 9 + 8 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (134645579833) and next prime (134645579843).

It is a super-2 number, since 2×1346455798382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134645579833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9873981 + ... + 9887607.

It is an arithmetic number, because the mean of its divisors is an integer number (3789537960).

Almost surely, 2134645579838 is an apocalyptic number.

134645579838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

134645579838 is an abundant number, since it is smaller than the sum of its proper divisors (229150064322).

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

134645579838 is a wasteful number, since it uses less digits than its factorization.

134645579838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20782 (or 20779 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 134645579838 in words is "one hundred thirty-four billion, six hundred forty-five million, five hundred seventy-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 7129 13627 14258 21387 27254 40881 42774 49903 64161 78419 81762 95389 99806 122643 128322 149709 149897 156838 190778 235257 245286 286167 299418 299794 449127 449691 470514 548933 572334 705771 858501 898254 899382 1049279 1097866 1349073 1411542 1646799 1717002 2098558 2698146 3147837 3293598 4940397 6295674 9443511 9880794 18887022 97146883 194293766 291440649 582881298 680028181 874321947 1068615713 1360056362 1748643894 2040084543 2137231426 3205847139 4080169086 6120253629 6411694278 7480309991 9617541417 12240507258 14960619982 19235082834 22440929973 44881859946 67322789919 134645579838