Search a number
-
+
42574562816 = 291719435987
BaseRepresentation
bin100111101001101001…
…000100011000000000
311001220002112212201212
4213221221010120000
51144143042002231
631320344345252
73035015545562
oct475151043000
9131802485655
1042574562816
111706825a205
128302175228
13402658a306
1420bc4ab332
151192a4042b
hex9e9a44600

42574562816 has 160 divisors (see below), whose sum is σ = 97031468160. Its totient is φ = 18536103936.

The previous prime is 42574562813. The next prime is 42574562839. The reversal of 42574562816 is 61826547524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42574562813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7108175 + ... + 7114161.

It is an arithmetic number, because the mean of its divisors is an integer number (606446676).

Almost surely, 242574562816 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 42574562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48515734080).

42574562816 is an abundant number, since it is smaller than the sum of its proper divisors (54456905344).

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

42574562816 is a wasteful number, since it uses less digits than its factorization.

42574562816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6068 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 50.

The spelling of 42574562816 in words is "forty-two billion, five hundred seventy-four million, five hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 19 32 34 38 43 64 68 76 86 128 136 152 172 256 272 304 323 344 512 544 608 646 688 731 817 1088 1216 1292 1376 1462 1634 2176 2432 2584 2752 2924 3268 4352 4864 5168 5504 5848 5987 6536 8704 9728 10336 11008 11696 11974 13072 13889 20672 22016 23392 23948 26144 27778 41344 46784 47896 52288 55556 82688 93568 95792 101779 104576 111112 113753 165376 187136 191584 203558 209152 222224 227506 257441 374272 383168 407116 418304 444448 455012 514882 766336 814232 888896 910024 1029764 1532672 1628464 1777792 1820048 1933801 2059528 3065344 3256928 3555584 3640096 3867602 4119056 4376497 4891379 6513856 7111168 7280192 7735204 8238112 8752994 9782758 13027712 14560384 15470408 16476224 17505988 19565516 26055424 29120768 30940816 32952448 35011976 39131032 52110848 58241536 61881632 65904896 70023952 78262064 83153443 123763264 131809792 140047904 156524128 166306886 247526528 280095808 313048256 332613772 495053056 560191616 626096512 665227544 990106112 1120383232 1252193024 1330455088 2240766464 2504386048 2660910176 5321820352 10643640704 21287281408 42574562816