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42035720076 = 22327883188911
BaseRepresentation
bin100111001001100001…
…100010111110001100
311000111112121211110100
4213021201202332030
51142042121020301
631151055211100
73015453503520
oct471141427614
9130445554410
1042035720076
1116911082729
128191816a90
133c6ba5535c
14206aac3d80
1511605a3286
hex9c9862f8c

42035720076 has 72 divisors (see below), whose sum is σ = 121574695424. Its totient is φ = 11996540640.

The previous prime is 42035720071. The next prime is 42035720087. The reversal of 42035720076 is 67002753024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42035720076.

It is not an unprimeable number, because it can be changed into a prime (42035720071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 128061 + ... + 316971.

Almost surely, 242035720076 is an apocalyptic number.

It is an amenable number.

42035720076 is an abundant number, since it is smaller than the sum of its proper divisors (79538975348).

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

42035720076 is a wasteful number, since it uses less digits than its factorization.

42035720076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189811 (or 189806 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 42035720076 in words is "forty-two billion, thirty-five million, seven hundred twenty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 883 1766 2649 3532 5298 6181 7947 10596 12362 15894 18543 24724 31788 37086 55629 74172 111258 188911 222516 377822 566733 755644 1133466 1322377 1700199 2266932 2644754 3400398 3967131 5289508 6800796 7934262 11901393 15868524 23802786 47605572 166808413 333616826 500425239 667233652 1000850478 1167658891 1501275717 2001700956 2335317782 3002551434 3502976673 4670635564 6005102868 7005953346 10508930019 14011906692 21017860038 42035720076