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56403325134 = 2331322927349
BaseRepresentation
bin110100100001111001…
…100111000011001110
312101120211210210101000
4310201321213003032
51411003222401014
641524503001130
74034504232102
oct644171470316
9171524723330
1056403325134
1121a1422aaa2
12ab214391a6
13541b572700
142a30d2b902
151701aeb509
hexd21e670ce

56403325134 has 144 divisors (see below), whose sum is σ = 140584626000. Its totient is φ = 16754145408.

The previous prime is 56403325133. The next prime is 56403325151. The reversal of 56403325134 is 43152330465.

56403325134 is a `hidden beast` number, since 5 + 640 + 3 + 3 + 2 + 5 + 1 + 3 + 4 = 666.

56403325134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564033251342 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56403325133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7671292 + ... + 7678640.

It is an arithmetic number, because the mean of its divisors is an integer number (976282125).

Almost surely, 256403325134 is an apocalyptic number.

56403325134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56403325134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70292313000).

56403325134 is an abundant number, since it is smaller than the sum of its proper divisors (84181300866).

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

56403325134 is a wasteful number, since it uses less digits than its factorization.

56403325134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 56403325134 its reverse (43152330465), we get a palindrome (99555655599).

The spelling of 56403325134 in words is "fifty-six billion, four hundred three million, three hundred twenty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 169 174 234 261 338 351 377 507 522 702 754 783 841 1014 1131 1521 1566 1682 2262 2523 3042 3393 4563 4901 5046 6786 7349 7569 9126 9802 10179 10933 14698 14703 15138 20358 21866 22047 22707 29406 32799 44094 44109 45414 65598 66141 88218 95537 98397 132282 132327 142129 191074 196794 198423 213121 264654 284258 286611 295191 396846 426242 426387 573222 590382 639363 852774 859833 1241981 1278726 1279161 1719666 1918089 2483962 2558322 2579499 2770573 3725943 3836178 3837483 5158998 5541146 5754267 6180509 7451886 7674966 8311719 11177829 11508534 12361018 16623438 18541527 22355658 24935157 33533487 36017449 37083054 49870314 55624581 67066974 72034898 74805471 80346617 108052347 111249162 149610942 160693234 166873743 216104694 241039851 324157041 333747486 482079702 648314082 723119553 972471123 1044506021 1446239106 1944942246 2089012042 2169358659 3133518063 4338717318 6267036126 9400554189 18801108378 28201662567 56403325134