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9189840131 = 296717926423
BaseRepresentation
bin10001000111100000…
…11101010100000011
3212201110022020201022
420203300131110003
5122310044341011
64115522100055
7443506231553
oct104360352403
925643266638
109189840131
1139964749aa
1219457aa62b
13b35bbb034
14632711163
1538bbca8db
hex223c1d503

9189840131 has 16 divisors (see below), whose sum is σ = 9702892800. Its totient is φ = 8691358368.

The previous prime is 9189840053. The next prime is 9189840157. The reversal of 9189840131 is 1310489819.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9189840131 is a prime.

It is a super-3 number, since 3×91898401313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9189840931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334586 + ... + 361008.

It is an arithmetic number, because the mean of its divisors is an integer number (606430800).

Almost surely, 29189840131 is an apocalyptic number.

9189840131 is a deficient number, since it is larger than the sum of its proper divisors (513052669).

9189840131 is a wasteful number, since it uses less digits than its factorization.

9189840131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698.

The product of its (nonzero) digits is 62208, while the sum is 44.

The square root of 9189840131 is about 95863.6538579664. The cubic root of 9189840131 is about 2094.6074897247.

The spelling of 9189840131 in words is "nine billion, one hundred eighty-nine million, eight hundred forty thousand, one hundred thirty-one".

Divisors: 1 29 67 179 1943 5191 11993 26423 347797 766267 1770341 4729717 51339889 137161793 316891039 9189840131