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642074118 = 237235312541
BaseRepresentation
bin100110010001010…
…100011000000110
31122202011202002220
4212101110120012
52303332332433
6143413513210
721624353130
oct4621243006
91582152086
10642074118
112aa485874
1215b042806
13a303a51a
14613ba050
153b57e2b3
hex26454606

642074118 has 64 divisors (see below), whose sum is σ = 1560425472. Its totient is φ = 172149120.

The previous prime is 642074107. The next prime is 642074129. The reversal of 642074118 is 811470246.

It is an interprime number because it is at equal distance from previous prime (642074107) and next prime (642074129).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44928 + ... + 57468.

It is an arithmetic number, because the mean of its divisors is an integer number (24381648).

Almost surely, 2642074118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642074118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780212736).

642074118 is an abundant number, since it is smaller than the sum of its proper divisors (918351354).

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

642074118 is a wasteful number, since it uses less digits than its factorization.

642074118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 642074118 is about 25339.1814784929. The cubic root of 642074118 is about 862.7038204297.

The spelling of 642074118 in words is "six hundred forty-two million, seventy-four thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 21 23 42 46 53 69 106 138 159 161 318 322 371 483 742 966 1113 1219 2226 2438 3657 7314 8533 12541 17066 25082 25599 37623 51198 75246 87787 175574 263361 288443 526722 576886 664673 865329 1329346 1730658 1994019 2019101 3988038 4038202 4652711 6057303 9305422 12114606 13958133 15287479 27916266 30574958 45862437 91724874 107012353 214024706 321037059 642074118