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20589361164 = 2234178814243
BaseRepresentation
bin10011001011001110…
…001011100000001100
31222010220111220210000
4103023032023200030
5314131334024124
613243021244300
71326136453011
oct231316134014
958126456700
1020589361164
118806180869
123ba7403690
131c31819c58
14dd469d708
158078866c9
hex4cb38b80c

20589361164 has 120 divisors (see below), whose sum is σ = 57068949168. Its totient is φ = 6450554880.

The previous prime is 20589361129. The next prime is 20589361183. The reversal of 20589361164 is 46116398502.

20589361164 is a `hidden beast` number, since 2 + 0 + 589 + 3 + 6 + 1 + 1 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4850427 + ... + 4854669.

Almost surely, 220589361164 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 20589361164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28534474584).

20589361164 is an abundant number, since it is smaller than the sum of its proper divisors (36479588004).

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

20589361164 is a wasteful number, since it uses less digits than its factorization.

20589361164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20589361164 in words is "twenty billion, five hundred eighty-nine million, three hundred sixty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 881 918 1377 1762 1836 2643 2754 3524 4243 5286 5508 7929 8486 10572 12729 14977 15858 16972 23787 25458 29954 31716 38187 44931 47574 50916 59908 71361 72131 76374 89862 95148 114561 134793 142722 144262 152748 179724 216393 229122 269586 285444 288524 343683 404379 432786 458244 539172 649179 687366 808758 865572 1213137 1298358 1374732 1617516 1947537 2426274 2596716 3738083 3895074 4852548 5842611 7476166 7790148 11214249 11685222 14952332 22428498 23370444 33642747 44856996 63547411 67285494 100928241 127094822 134570988 190642233 201856482 254189644 302784723 381284466 403712964 571926699 605569446 762568932 1143853398 1211138892 1715780097 2287706796 3431560194 5147340291 6863120388 10294680582 20589361164