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7008234642 = 233235921621
BaseRepresentation
bin1101000011011100…
…10010110010010010
3200002102020012121000
412201232102302102
5103323102002032
63115230442430
7335446003653
oct64156226222
920072205530
107008234642
112a76a69462
121437063416
13878c2a106
144a6aa152a
152b03e3e7c
hex1a1b92c92

7008234642 has 96 divisors (see below), whose sum is σ = 16541285760. Its totient is φ = 2195281440.

The previous prime is 7008234637. The next prime is 7008234661. The reversal of 7008234642 is 2464328007.

7008234642 is a `hidden beast` number, since 7 + 0 + 0 + 8 + 2 + 3 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7008234597 and 7008234606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322592 + ... + 4324212.

It is an arithmetic number, because the mean of its divisors is an integer number (172305060).

Almost surely, 27008234642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7008234642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8270642880).

7008234642 is an abundant number, since it is smaller than the sum of its proper divisors (9533051118).

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

7008234642 is a wasteful number, since it uses less digits than its factorization.

7008234642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7008234642 is about 83715.1995876496. The cubic root of 7008234642 is about 1913.6809985157.

The spelling of 7008234642 in words is "seven billion, eight million, two hundred thirty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 59 69 118 138 177 207 354 414 531 621 1062 1242 1357 1593 1621 2714 3186 3242 3481 4071 4863 6962 8142 9726 10443 12213 14589 20886 24426 29178 31329 36639 37283 43767 62658 73278 74566 80063 87534 93987 95639 111849 160126 187974 191278 223698 240189 286917 335547 480378 573834 671094 720567 860751 1006641 1441134 1721502 2013282 2161701 2199697 2582253 4323402 4399394 5164506 5642701 6599091 11285402 13198182 16928103 19797273 33856206 39594546 50784309 59391819 101568618 118783638 129782123 152352927 259564246 304705854 389346369 778692738 1168039107 2336078214 3504117321 7008234642