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2682934002 = 23474355021
BaseRepresentation
bin1001111111101010…
…0101001011110010
320220222102011120000
42133322211023302
520443312342002
61122120330430
7123325364010
oct23772451362
96828364500
102682934002
1111574a0031
1262a613a16
13339abc918
141b646d8b0
1510a81361c
hex9fea52f2

2682934002 has 80 divisors (see below), whose sum is σ = 7030491072. Its totient is φ = 748712160.

The previous prime is 2682933989. The next prime is 2682934031. The reversal of 2682934002 is 2004392862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21252 + ... + 76272.

Almost surely, 22682934002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682934002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515245536).

2682934002 is an abundant number, since it is smaller than the sum of its proper divisors (4347557070).

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

2682934002 is a wasteful number, since it uses less digits than its factorization.

2682934002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55085 (or 55076 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2682934002 is about 51797.0462671377. The cubic root of 2682934002 is about 1389.5366193452.

The spelling of 2682934002 in words is "two billion, six hundred eighty-two million, nine hundred thirty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 81 86 126 129 162 189 258 301 378 387 567 602 774 903 1134 1161 1806 2322 2709 3483 5418 6966 8127 16254 24381 48762 55021 110042 165063 330126 385147 495189 770294 990378 1155441 1485567 2310882 2365903 2971134 3466323 4456701 4731806 6932646 7097709 8913402 10398969 14195418 16561321 20797938 21293127 31196907 33122642 42586254 49683963 62393814 63879381 99367926 127758762 149051889 191638143 298103778 383276286 447155667 894311334 1341467001 2682934002