Search a number
-
+
56642060286 = 2327352117609
BaseRepresentation
bin110100110000001000…
…010011111111111110
312102012111000210102200
4310300020103333332
51412000331412121
642004311532330
74043433366000
oct646010237776
9172174023380
1056642060286
1122026a6a279
12ab8938a0a6
135458b6c906
142a54914370
151717a57a26
hexd30213ffe

56642060286 has 96 divisors (see below), whose sum is σ = 143401752000. Its totient is φ = 16151466240.

The previous prime is 56642060231. The next prime is 56642060291. The reversal of 56642060286 is 68206024665.

56642060286 is a `hidden beast` number, since 566 + 4 + 2 + 0 + 6 + 0 + 2 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207850 + ... + 3225458.

It is an arithmetic number, because the mean of its divisors is an integer number (1493768250).

Almost surely, 256642060286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56642060286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71700876000).

56642060286 is an abundant number, since it is smaller than the sum of its proper divisors (86759691714).

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

56642060286 is a wasteful number, since it uses less digits than its factorization.

56642060286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18159 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 56642060286 in words is "fifty-six billion, six hundred forty-two million, sixty thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 521 686 882 1029 1042 1563 2058 3087 3126 3647 4689 6174 7294 9378 10941 17609 21882 25529 32823 35218 51058 52827 65646 76587 105654 123263 153174 158481 178703 229761 246526 316962 357406 369789 459522 536109 739578 862841 1072218 1109367 1608327 1725682 2218734 2588523 3216654 5177046 6039887 7765569 9174289 12079774 15531138 18119661 18348578 27522867 36239322 54358983 55045734 64220023 82568601 108717966 128440046 165137202 192660069 385320138 449540161 577980207 899080322 1155960414 1348620483 2697240966 3146781127 4045861449 6293562254 8091722898 9440343381 18880686762 28321030143 56642060286