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42036510113 = 1317283367141
BaseRepresentation
bin100111001001100100…
…100011110110100001
311000111121002222011222
4213021210203312201
51142042321310423
631151124144425
73015463304033
oct471144436641
9130447088158
1042036510113
1116911572254
128191b38115
133c6bc70b30
14206ac4bc53
1511606ac3c8
hex9c9923da1

42036510113 has 16 divisors (see below), whose sum is σ = 47950667856. Its totient is φ = 36506972160.

The previous prime is 42036510107. The next prime is 42036510143. The reversal of 42036510113 is 31101563024.

It can be written as a sum of positive squares in 8 ways, for example, as 529782289 + 41506727824 = 23017^2 + 203732^2 .

It is a cyclic number.

It is not a de Polignac number, because 42036510113 - 226 = 41969401249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42036510143) 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 15 ways as a sum of consecutive naturals, for example, 592523 + ... + 659663.

It is an arithmetic number, because the mean of its divisors is an integer number (2996916741).

Almost surely, 242036510113 is an apocalyptic number.

It is an amenable number.

42036510113 is a deficient number, since it is larger than the sum of its proper divisors (5914157743).

42036510113 is a wasteful number, since it uses less digits than its factorization.

42036510113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70004.

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 42036510113 in words is "forty-two billion, thirty-six million, five hundred ten thousand, one hundred thirteen".

Divisors: 1 13 17 221 2833 36829 48161 67141 626093 872833 1141397 14838161 190210453 2472735889 3233577701 42036510113