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42000326196 = 223194317324763
BaseRepresentation
bin100111000111011010…
…100001111000110100
311000102002000122011220
4213013122201320310
51142004040414241
631143352430340
73014543611413
oct470732417064
9130362018156
1042000326196
11168a30a8794
1281819a83b0
133c6461222a
14206610d47a
15115c411166
hex9c76a1e34

42000326196 has 96 divisors (see below), whose sum is σ = 106172183040. Its totient is φ = 12879409536.

The previous prime is 42000326143. The next prime is 42000326209. The reversal of 42000326196 is 69162300024.

42000326196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683711 + ... + 1708473.

It is an arithmetic number, because the mean of its divisors is an integer number (1105960240).

Almost surely, 242000326196 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 42000326196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53086091520).

42000326196 is an abundant number, since it is smaller than the sum of its proper divisors (64171856844).

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

42000326196 is a wasteful number, since it uses less digits than its factorization.

42000326196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25005 (or 25003 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 42000326196 in words is "forty-two billion, three hundred twenty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 173 228 258 346 516 519 692 817 1038 1634 2076 2451 3268 3287 4902 6574 7439 9804 9861 13148 14878 19722 22317 24763 29756 39444 44634 49526 74289 89268 99052 141341 148578 282682 297156 424023 470497 565364 848046 940994 1064809 1411491 1696092 1881988 2129618 2822982 3194427 4259236 4283999 5645964 6388854 8567998 12777708 12851997 17135996 20231371 25703994 40462742 51407988 60694113 80925484 81395981 121388226 162791962 184211957 242776452 244187943 325583924 368423914 488375886 552635871 736847828 976751772 1105271742 2210543484 3500027183 7000054366 10500081549 14000108732 21000163098 42000326196