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42882137037345 = 3537211873646817
BaseRepresentation
bin10011100000000010001101…
…00010111001101000100001
312121211111021212020102101110
421300001012202321220201
521110040104040143340
6231111440511253533
712014063221461024
oct1160010642715041
9177744255212343
1042882137037345
11127332374714a1
124986a18b1a2a9
131ac09ca898338
14a83713bd71bb
154e56e1ddb680
hex2700468b9a21

42882137037345 has 32 divisors (see below), whose sum is σ = 70469127163008. Its totient is φ = 22251295807488.

The previous prime is 42882137037329. The next prime is 42882137037361. The reversal of 42882137037345 is 54373073128824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42882137037329) and next prime (42882137037361).

It is not a de Polignac number, because 42882137037345 - 24 = 42882137037329 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9935377 + ... + 13582193.

It is an arithmetic number, because the mean of its divisors is an integer number (2202160223844).

Almost surely, 242882137037345 is an apocalyptic number.

It is an amenable number.

42882137037345 is a deficient number, since it is larger than the sum of its proper divisors (27586990125663).

42882137037345 is a wasteful number, since it uses less digits than its factorization.

42882137037345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668049.

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 42882137037345 in words is "forty-two trillion, eight hundred eighty-two billion, one hundred thirty-seven million, thirty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 15 37 111 185 555 21187 63561 105935 317805 783919 2351757 3646817 3919595 10940451 11758785 18234085 54702255 134932229 404796687 674661145 2023983435 77265111779 231795335337 386325558895 1158976676685 2858809135823 8576427407469 14294045679115 42882137037345