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2959668852 = 22371011312663
BaseRepresentation
bin1011000001101000…
…1111011001110100
321122021010202101220
42300122033121310
522030133400402
61205403550340
7133225525110
oct26032173164
97567122356
102959668852
111289724018
126a722b3b0
1338223305a
14201108740
15124c78dbc
hexb068f674

2959668852 has 96 divisors (see below), whose sum is σ = 8034453504. Its totient is φ = 830544000.

The previous prime is 2959668851. The next prime is 2959668853. The reversal of 2959668852 is 2588669592.

2959668852 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2959668851) and next prime (2959668853).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959668851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110073 + ... + 1112735.

It is an arithmetic number, because the mean of its divisors is an integer number (83692224).

Almost surely, 22959668852 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 2959668852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017226752).

2959668852 is an abundant number, since it is smaller than the sum of its proper divisors (5074784652).

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

2959668852 is a wasteful number, since it uses less digits than its factorization.

2959668852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2907 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The square root of 2959668852 is about 54402.8386391740. The cubic root of 2959668852 is about 1435.7573249598.

The spelling of 2959668852 in words is "two billion, nine hundred fifty-nine million, six hundred sixty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 131 202 262 303 393 404 524 606 707 786 917 1212 1414 1572 1834 2121 2663 2751 2828 3668 4242 5326 5502 7989 8484 10652 11004 13231 15978 18641 26462 31956 37282 39693 52924 55923 74564 79386 92617 111846 158772 185234 223692 268963 277851 348853 370468 537926 555702 697706 806889 1046559 1075852 1111404 1395412 1613778 1882741 2093118 2441971 3227556 3765482 4186236 4883942 5648223 7325913 7530964 9767884 11296446 14651826 22592892 29303652 35234153 70468306 105702459 140936612 211404918 246639071 422809836 493278142 739917213 986556284 1479834426 2959668852