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2813168608 = 253718113127
BaseRepresentation
bin1010011110101101…
…1000101111100000
321021001110202211221
42213223120233200
521230132343413
61143051544424
7126466352515
oct24753305740
97231422757
102813168608
111213a62238
1266615b114
1335aa8b113
141c989130c
15116e8b68d
hexa7ad8be0

2813168608 has 48 divisors (see below), whose sum is σ = 5719974624. Its totient is φ = 1360903680.

The previous prime is 2813168587. The next prime is 2813168621. The reversal of 2813168608 is 8068613182.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207741 + ... + 220867.

It is an arithmetic number, because the mean of its divisors is an integer number (119166138).

Almost surely, 22813168608 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 2813168608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859987312).

2813168608 is an abundant number, since it is smaller than the sum of its proper divisors (2906806016).

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

2813168608 is a wasteful number, since it uses less digits than its factorization.

2813168608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 2813168608 is about 53039.3119110721. The cubic root of 2813168608 is about 1411.6658894310.

The spelling of 2813168608 in words is "two billion, eight hundred thirteen million, one hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 37 74 148 181 296 362 592 724 1184 1448 2896 5792 6697 13127 13394 26254 26788 52508 53576 105016 107152 210032 214304 420064 485699 971398 1942796 2375987 3885592 4751974 7771184 9503948 15542368 19007896 38015792 76031584 87911519 175823038 351646076 703292152 1406584304 2813168608