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2993089638 = 237211284137
BaseRepresentation
bin1011001001100110…
…1110110001100110
321201121000201002210
42302121232301212
522112212332023
61213000144250
7134112561600
oct26231566146
97647021083
102993089638
1112a6580600
126b6468086
13389135076
14205728170
15127b7b593
hexb266ec66

2993089638 has 72 divisors (see below), whose sum is σ = 7654202136. Its totient is φ = 777416640.

The previous prime is 2993089607. The next prime is 2993089661. The reversal of 2993089638 is 8369803992.

It is a super-2 number, since 2×29930896382 = 17917171162205942088, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 6495 + ... + 77642.

It is an arithmetic number, because the mean of its divisors is an integer number (106308363).

Almost surely, 22993089638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2993089638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827101068).

2993089638 is an abundant number, since it is smaller than the sum of its proper divisors (4661112498).

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

2993089638 is a wasteful number, since it uses less digits than its factorization.

2993089638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84178 (or 84160 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The square root of 2993089638 is about 54709.1366958025. The cubic root of 2993089638 is about 1441.1413337668.

The spelling of 2993089638 in words is "two billion, nine hundred ninety-three million, eighty-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1617 1694 2541 3234 5082 5929 11858 17787 35574 84137 168274 252411 504822 588959 925507 1177918 1766877 1851014 2776521 3533754 4122713 5553042 6478549 8245426 10180577 12368139 12957098 19435647 20361154 24736278 30541731 38871294 45349843 61083462 71264039 90699686 136049529 142528078 213792117 272099058 427584234 498848273 997696546 1496544819 2993089638