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2660712642 = 2327216211861
BaseRepresentation
bin1001111010010111…
…0100000011000010
320212102121012120200
42132211310003002
520422120301032
61120004150030
7122635453500
oct23645640302
96772535520
102660712642
1111459a2875
12623098316
1333530c3a3
141b3527670
151088c447c
hex9e9740c2

2660712642 has 72 divisors (see below), whose sum is σ = 6713824572. Its totient is φ = 759326400.

The previous prime is 2660712601. The next prime is 2660712647. The reversal of 2660712642 is 2462170662.

2660712642 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 7 + 1 + 2 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2516928561 + 143784081 = 50169^2 + 11991^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2660712597 and 2660712606.

It is not an unprimeable number, because it can be changed into a prime (2660712647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1428792 + ... + 1430652.

Almost surely, 22660712642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2660712642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356912286).

2660712642 is an abundant number, since it is smaller than the sum of its proper divisors (4053111930).

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

2660712642 is a wasteful number, since it uses less digits than its factorization.

2660712642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2660712642 is about 51582.0961380981. The cubic root of 2660712642 is about 1385.6897070913.

The spelling of 2660712642 in words is "two billion, six hundred sixty million, seven hundred twelve thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1621 1861 3242 3722 4863 5583 9726 11166 11347 13027 14589 16749 22694 26054 29178 33498 34041 39081 68082 78162 79429 91189 102123 117243 158858 182378 204246 234486 238287 273567 476574 547134 714861 820701 1429722 1641402 3016681 6033362 9050043 18100086 21116767 27150129 42233534 54300258 63350301 126700602 147817369 190050903 295634738 380101806 443452107 886904214 1330356321 2660712642