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42710111101724 = 22111783687940711
BaseRepresentation
bin10011011011000001110010…
…00000000010001100011100
312121020001021002002110001112
421231200321000002030130
521044230301420223344
6230500430522401152
711665463240241023
oct1155407100021434
9177201232073045
1042710111101724
11126772902a2970
1249596099601b8
131aaa713cb5ba1
14a792750738ba
154e0ec47a8c9e
hex26d83900231c

42710111101724 has 48 divisors (see below), whose sum is σ = 87373973949696. Its totient is φ = 18051564230400.

The previous prime is 42710111101661. The next prime is 42710111101733.

42710111101724 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 343908272 + ... + 344032439.

It is an arithmetic number, because the mean of its divisors is an integer number (1820291123952).

Almost surely, 242710111101724 is an apocalyptic number.

42710111101724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42710111101724 is an abundant number, since it is smaller than the sum of its proper divisors (44663862847972).

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

42710111101724 is a wasteful number, since it uses less digits than its factorization.

42710111101724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687940826 (or 687940824 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 32.

It can be divided in two parts, 4271011 and 1101724, that added together give a palindrome (5372735).

The spelling of 42710111101724 in words is "forty-two trillion, seven hundred ten billion, one hundred eleven million, one hundred one thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 44 68 83 166 187 332 374 748 913 1411 1826 2822 3652 5644 15521 31042 62084 687940711 1375881422 2751762844 7567347821 11694992087 15134695642 23389984174 30269391284 46779968348 57099079013 114198158026 128644912957 228396316052 257289825914 514579651828 628089869143 970684343221 1256179738286 1941368686442 2512359476572 3882737372884 10677527775431 21355055550862 42710111101724