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2953084662 = 2331110149223
BaseRepresentation
bin1011000000000100…
…0111111011110110
321121210202020121000
42300001013323312
522021442202122
61205010504130
7133115543163
oct26001077366
97553666530
102953084662
111285a37240
126a4b95046
13380a69198
142002b306a
151243c80ac
hexb0047ef6

2953084662 has 64 divisors (see below), whose sum is σ = 7230021120. Its totient is φ = 885996000.

The previous prime is 2953084657. The next prime is 2953084679. The reversal of 2953084662 is 2664803592.

2953084662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35383 + ... + 84605.

It is an arithmetic number, because the mean of its divisors is an integer number (112969080).

Almost surely, 22953084662 is an apocalyptic number.

2953084662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2953084662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615010560).

2953084662 is an abundant number, since it is smaller than the sum of its proper divisors (4276936458).

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

2953084662 is a wasteful number, since it uses less digits than its factorization.

2953084662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49346 (or 49340 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2953084662 is about 54342.2916520825. The cubic root of 2953084662 is about 1434.6918546628.

The spelling of 2953084662 in words is "two billion, nine hundred fifty-three million, eighty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 101 198 202 297 303 594 606 909 1111 1818 2222 2727 3333 5454 6666 9999 19998 29997 49223 59994 98446 147669 295338 443007 541453 886014 1082906 1329021 1624359 2658042 3248718 4873077 4971523 9746154 9943046 14619231 14914569 29238462 29829138 44743707 54686753 89487414 109373506 134231121 164060259 268462242 328120518 492180777 984361554 1476542331 2953084662