Search a number
-
+
43568400486534 = 23711617432735323
BaseRepresentation
bin10011110100000000011110…
…00010001101000010000110
312201021002122201222201220020
421322000033002031002012
521202311041011032114
6232355014042520010
712114466402524330
oct1172001702150206
9181232581881806
1043568400486534
1112978289281160
124a77a21206006
131b406371975b1
14aa8a16a02450
155084aa04eaa9
hex27a00f08d086

43568400486534 has 128 divisors (see below), whose sum is σ = 108842393198592. Its totient is φ = 11295195690240.

The previous prime is 43568400486491. The next prime is 43568400486617.

43568400486534 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 63 ways as a sum of consecutive naturals, for example, 1233410997 + ... + 1233446319.

It is an arithmetic number, because the mean of its divisors is an integer number (850331196864).

Almost surely, 243568400486534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43568400486534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54421196599296).

43568400486534 is an abundant number, since it is smaller than the sum of its proper divisors (65273992712058).

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

43568400486534 is a wasteful number, since it uses less digits than its factorization.

43568400486534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40290.

The product of its (nonzero) digits is 132710400, while the sum is 60.

The spelling of 43568400486534 in words is "forty-three trillion, five hundred sixty-eight billion, four hundred million, four hundred eighty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 617 1234 1851 3702 4319 4327 6787 8638 8654 12957 12981 13574 20361 25914 25962 30289 35323 40722 47509 47597 60578 70646 90867 95018 95194 105969 142527 142791 181734 211938 247261 285054 285582 333179 388553 494522 666358 741783 777106 999537 1165659 1483566 1999074 2331318 2669759 2719871 5339518 5439742 8009277 8159613 16018554 16319226 18688313 21794291 29367349 37376626 43588582 56064939 58734698 65382873 88102047 112129878 130765746 152560037 152842621 176204094 205571443 239737201 305120074 305685242 411142886 457680111 458527863 479474402 616714329 719211603 915360222 917055726 1069898347 1233428658 1438423206 1678160407 1681268831 2139796694 3209695041 3356320814 3362537662 5034481221 5043806493 6419390082 10068962442 10087612986 11768881817 23537763634 35306645451 70613290902 94303897157 188607794314 282911691471 565823382942 660127280099 1037342868727 1320254560198 1980381840297 2074685737454 3112028606181 3960763680594 6224057212362 7261400081089 14522800162178 21784200243267 43568400486534