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9072940842 = 233724337919
BaseRepresentation
bin10000111001100101…
…00001011100101010
3212102022100011001000
420130302201130222
5122040133101332
64100144335430
7440556503400
oct103462413452
925368304030
109072940842
113936490819
121912614576
13b1790b564
14620da1470
153817d8b7c
hex21cca172a

9072940842 has 96 divisors (see below), whose sum is σ = 23510995200. Its totient is φ = 2585955456.

The previous prime is 9072940837. The next prime is 9072940859. The reversal of 9072940842 is 2480492709.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141759 + ... + 1149677.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 29072940842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072940842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11755497600).

9072940842 is an abundant number, since it is smaller than the sum of its proper divisors (14438054358).

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

9072940842 is a wasteful number, since it uses less digits than its factorization.

9072940842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9072940842 is about 95251.9860265391. The cubic root of 9072940842 is about 2085.6880830256.

The spelling of 9072940842 in words is "nine billion, seventy-two million, nine hundred forty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 433 441 866 882 1299 1323 2598 2646 3031 3897 6062 7794 7919 9093 11691 15838 18186 21217 23382 23757 27279 42434 47514 54558 55433 63651 71271 81837 110866 127302 142542 163674 166299 190953 213813 332598 381906 388031 427626 498897 572859 776062 997794 1145718 1164093 1496691 2328186 2993382 3428927 3492279 6857854 6984558 10286781 10476837 20573562 20953674 24002489 30860343 48004978 61720686 72007467 92581029 144014934 168017423 185162058 216022401 336034846 432044802 504052269 648067203 1008104538 1296134406 1512156807 3024313614 4536470421 9072940842