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642657516606 = 232743118615267
BaseRepresentation
bin10010101101000010101…
…11110111110000111110
32021102210220111102102200
421112201113313300332
541012130311012411
61211122140532330
764300436521440
oct11264127676076
92242726442380
10642657516606
11228605461156
12a46748510a6
13487aa4704b1
1423167786490
1511ab4ce6e56
hex95a15f7c3e

642657516606 has 48 divisors (see below), whose sum is σ = 1628350399104. Its totient is φ = 179346282192.

The previous prime is 642657516587. The next prime is 642657516617. The reversal of 642657516606 is 606615756246.

642657516606 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 575 + 1 + 6 + 60 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59302216 + ... + 59313051.

It is an arithmetic number, because the mean of its divisors is an integer number (33923966648).

Almost surely, 2642657516606 is an apocalyptic number.

642657516606 is an abundant number, since it is smaller than the sum of its proper divisors (985692882498).

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

642657516606 is a wasteful number, since it uses less digits than its factorization.

642657516606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118615325 (or 118615322 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 642657516606 in words is "six hundred forty-two billion, six hundred fifty-seven million, five hundred sixteen thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 118615267 237230534 355845801 711691602 830306869 1067537403 1660613738 2135074806 2490920607 4981841214 5100456481 7472761821 10200912962 14945523642 15301369443 30602738886 35703195367 45904108329 71406390734 91808216658 107109586101 214219172202 321328758303 642657516606