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42175142526 = 2311472443653
BaseRepresentation
bin100111010001110101…
…011001101001111110
311000212020222020002210
4213101311121221332
51142333314030101
631212555401250
73022065540126
oct472165315176
9130766866083
1042175142526
111698284a8a0
128210453226
133c918bc84a
142081417c86
15116c9437d6
hex9d1d59a7e

42175142526 has 96 divisors (see below), whose sum is σ = 94374523008. Its totient is φ = 12461076160.

The previous prime is 42175142521. The next prime is 42175142579. The reversal of 42175142526 is 62524157124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42175142521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64586416 + ... + 64587068.

It is an arithmetic number, because the mean of its divisors is an integer number (983067948).

Almost surely, 242175142526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42175142526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47187261504).

42175142526 is an abundant number, since it is smaller than the sum of its proper divisors (52199380482).

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

42175142526 is a wasteful number, since it uses less digits than its factorization.

42175142526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1159 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The spelling of 42175142526 in words is "forty-two billion, one hundred seventy-five million, one hundred forty-two thousand, five hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 443 517 653 886 1034 1306 1329 1551 1959 2209 2658 3102 3918 4418 4873 6627 7183 9746 13254 14366 14619 20821 21549 24299 29238 30691 41642 43098 48598 61382 62463 72897 92073 124926 145794 184146 229031 289279 337601 458062 578558 675202 687093 867837 978587 1012803 1374186 1442477 1735674 1957174 2025606 2884954 2935761 3182069 4327431 5871522 6364138 8654862 9546207 10764457 13596113 15867247 19092414 21528914 27192226 31734494 32293371 40788339 47601741 64586742 81576678 95203482 149557243 299114486 448671729 639017311 897343458 1278034622 1917051933 3834103866 7029190421 14058380842 21087571263 42175142526