Search a number
-
+
73135530936 = 23331326045417
BaseRepresentation
bin100010000011100110…
…1111010001110111000
320222202221101220201000
41010013031322032320
52144240143442221
653333100125000
75166236520156
oct1040715721670
9228687356630
1073135530936
1129020111956
1212210b36760
136b86c32cc0
14377b21c3d6
151d80a26e26
hex110737a3b8

73135530936 has 64 divisors (see below), whose sum is σ = 218781511200. Its totient is φ = 22503239424.

The previous prime is 73135530929. The next prime is 73135530947. The reversal of 73135530936 is 63903553137.

73135530936 is a `hidden beast` number, since 7 + 3 + 1 + 3 + 553 + 0 + 93 + 6 = 666.

It is a super-2 number, since 2×731355309362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73135530891 and 73135530900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13019901 + ... + 13025516.

Almost surely, 273135530936 is an apocalyptic number.

It is an amenable number.

73135530936 is an abundant number, since it is smaller than the sum of its proper divisors (145645980264).

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

73135530936 is a wasteful number, since it uses less digits than its factorization.

73135530936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26045445 (or 26045435 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 45.

The spelling of 73135530936 in words is "seventy-three billion, one hundred thirty-five million, five hundred thirty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 26045417 52090834 78136251 104181668 156272502 208363336 234408753 312545004 338590421 468817506 625090008 677180842 703226259 937635012 1015771263 1354361684 1406452518 1875270024 2031542526 2708723368 2812905036 3047313789 4063085052 5625810072 6094627578 8126170104 9141941367 12189255156 18283882734 24378510312 36567765468 73135530936