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42058857624 = 2337435822101
BaseRepresentation
bin100111001010111001…
…110011110010011000
311000120011011100012120
4213022321303302120
51142114031420444
631153243141240
73016154251110
oct471271636230
9130504140176
1042058857624
1116923146273
128199514820
133c73796904
14206dbc8040
151162623b19
hex9cae73c98

42058857624 has 64 divisors (see below), whose sum is σ = 122962794240. Its totient is φ = 11737353600.

The previous prime is 42058857623. The next prime is 42058857629. The reversal of 42058857624 is 42675885024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42058857623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2903827 + ... + 2918274.

It is an arithmetic number, because the mean of its divisors is an integer number (1921293660).

Almost surely, 242058857624 is an apocalyptic number.

It is an amenable number.

42058857624 is an abundant number, since it is smaller than the sum of its proper divisors (80903936616).

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

42058857624 is a wasteful number, since it uses less digits than its factorization.

42058857624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822160 (or 5822156 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 42058857624 in words is "forty-two billion, fifty-eight million, eight hundred fifty-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 5822101 11644202 17466303 23288404 34932606 40754707 46576808 69865212 81509414 122264121 139730424 163018828 244528242 250350343 326037656 489056484 500700686 751051029 978112968 1001401372 1502102058 1752452401 2002802744 3004204116 3504904802 5257357203 6008408232 7009809604 10514714406 14019619208 21029428812 42058857624