Search a number
-
+
56783450736 = 2435131111487
BaseRepresentation
bin110100111000100011…
…101011001001110000
312102120100002011200000
4310320203223021300
51412243030410421
642030322230000
74050101240025
oct647043531160
9172510064600
1056783450736
1122099860a91
12b0087b5300
13547c245abc
142a695db54c
151725186226
hexd388eb270

56783450736 has 120 divisors (see below), whose sum is σ = 166060038144. Its totient is φ = 18783161280.

The previous prime is 56783450729. The next prime is 56783450741. The reversal of 56783450736 is 63705438765.

56783450736 is a `hidden beast` number, since 5 + 6 + 78 + 34 + 507 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453585 + ... + 565071.

Almost surely, 256783450736 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 56783450736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030019072).

56783450736 is an abundant number, since it is smaller than the sum of its proper divisors (109276587408).

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

56783450736 is a wasteful number, since it uses less digits than its factorization.

56783450736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111641 (or 111623 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 56783450736 in words is "fifty-six billion, seven hundred eighty-three million, four hundred fifty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 243 262 324 393 432 486 524 648 786 972 1048 1179 1296 1572 1944 2096 2358 3144 3537 3888 4716 6288 7074 9432 10611 14148 18864 21222 28296 31833 42444 56592 63666 84888 111487 127332 169776 222974 254664 334461 445948 509328 668922 891896 1003383 1337844 1783792 2006766 2675688 3010149 4013532 5351376 6020298 8027064 9030447 12040596 14604797 16054128 18060894 24081192 27091341 29209594 36121788 43814391 48162384 54182682 58419188 72243576 87628782 108365364 116838376 131443173 144487152 175257564 216730728 233676752 262886346 350515128 394329519 433461456 525772692 701030256 788659038 1051545384 1182988557 1577318076 2103090768 2365977114 3154636152 3548965671 4731954228 6309272304 7097931342 9463908456 14195862684 18927816912 28391725368 56783450736