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7682069412 = 22321761320477
BaseRepresentation
bin1110010011110001…
…10001001110100100
3201211101011120010100
413021320301032210
5111213102210122
63310141224100
7361240340553
oct71170611644
921741146110
107682069412
1132923674a6
1215a4862030
13955707b04
1452c387d9a
152ee648aac
hex1c9e313a4

7682069412 has 72 divisors (see below), whose sum is σ = 20595379896. Its totient is φ = 2406011904.

The previous prime is 7682069383. The next prime is 7682069441. The reversal of 7682069412 is 2149602867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7682069383) and next prime (7682069441).

It can be written as a sum of positive squares in 4 ways, for example, as 802362276 + 6879707136 = 28326^2 + 82944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364918 + ... + 385394.

It is an arithmetic number, because the mean of its divisors is an integer number (286046943).

Almost surely, 27682069412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7682069412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10297689948).

7682069412 is an abundant number, since it is smaller than the sum of its proper divisors (12913310484).

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

7682069412 is a wasteful number, since it uses less digits than its factorization.

7682069412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21117 (or 21112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7682069412 is about 87647.4153184223. The cubic root of 7682069412 is about 1973.1468521912.

The spelling of 7682069412 in words is "seven billion, six hundred eighty-two million, sixty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 613 1226 1839 2452 3678 5517 7356 10421 11034 20477 20842 22068 31263 40954 41684 61431 62526 81908 93789 122862 125052 184293 187578 245724 348109 368586 375156 696218 737172 1044327 1392436 2088654 3132981 4177308 6265962 12531924 12552401 25104802 37657203 50209604 75314406 112971609 150628812 213390817 225943218 426781634 451886436 640172451 853563268 1280344902 1920517353 2560689804 3841034706 7682069412