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2649363332 = 2271149117519
BaseRepresentation
bin1001110111101010…
…0001001110000100
320211122020121020212
42131322201032010
520411214111312
61114521014552
7122440134230
oct23572411604
96748217225
102649363332
11113a550980
1261b324458
13332b67615
141b1c115c0
151078d1822
hex9dea1384

2649363332 has 48 divisors (see below), whose sum is σ = 5792532480. Its totient is φ = 1030058400.

The previous prime is 2649363329. The next prime is 2649363337. The reversal of 2649363332 is 2333639462.

It is a super-2 number, since 2×26493633322 = 14038252129892284448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2649363332.

It is not an unprimeable number, because it can be changed into a prime (2649363337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142469 + ... + 159987.

It is an arithmetic number, because the mean of its divisors is an integer number (120677760).

Almost surely, 22649363332 is an apocalyptic number.

2649363332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649363332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896266240).

2649363332 is an abundant number, since it is smaller than the sum of its proper divisors (3143169148).

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

2649363332 is a wasteful number, since it uses less digits than its factorization.

2649363332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18030 counting only the distinct ones).

The product of its digits is 419904, while the sum is 41.

The square root of 2649363332 is about 51471.9664671945. The cubic root of 2649363332 is about 1383.7166722915.

The spelling of 2649363332 in words is "two billion, six hundred forty-nine million, three hundred sixty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 491 982 1964 3437 5401 6874 10802 13748 17519 21604 35038 37807 70076 75614 122633 151228 192709 245266 385418 490532 770836 1348963 2697926 5395852 8601829 17203658 34407316 60212803 94620119 120425606 189240238 240851212 378480476 662340833 1324681666 2649363332