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2909042046 = 233313767701
BaseRepresentation
bin1010110101100100…
…0111010101111110
321111201212122111000
42231121013111332
521424203321141
61200354511130
7132042310101
oct25531072576
97451778430
102909042046
111263095389
126922954a6
133748b8571
141d84ca738
151205c85b6
hexad64757e

2909042046 has 128 divisors (see below), whose sum is σ = 6965637120. Its totient is φ = 898128000.

The previous prime is 2909042041. The next prime is 2909042053. The reversal of 2909042046 is 6402409092.

It is a super-2 number, since 2×29090420462 = 16925051250791732232, 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 2909042046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909042041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4149496 + ... + 4150196.

It is an arithmetic number, because the mean of its divisors is an integer number (54419040).

Almost surely, 22909042046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2909042046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482818560).

2909042046 is an abundant number, since it is smaller than the sum of its proper divisors (4056595074).

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

2909042046 is a wasteful number, since it uses less digits than its factorization.

2909042046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2909042046 is about 53935.5360221811. The cubic root of 2909042046 is about 1427.5237183611.

The spelling of 2909042046 in words is "two billion, nine hundred nine million, forty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 67 74 93 111 134 186 201 222 279 333 402 558 603 666 701 837 999 1147 1206 1402 1674 1809 1998 2077 2103 2294 2479 3441 3618 4154 4206 4958 6231 6309 6882 7437 10323 12462 12618 14874 18693 18927 20646 21731 22311 25937 30969 37386 37854 43462 44622 46967 51874 56079 61938 65193 66933 76849 77811 93934 112158 130386 133866 140901 153698 155622 195579 230547 233433 281802 391158 422703 461094 466866 586737 691641 700299 804047 845406 1173474 1268109 1383282 1400598 1455977 1608094 1737779 2074923 2412141 2536218 2911954 3475558 4149846 4367931 4824282 5213337 7236423 8735862 10426674 13103793 14472846 15640011 21709269 26207586 31280022 39311379 43418538 46920033 53871149 78622758 93840066 107742298 161613447 323226894 484840341 969680682 1454521023 2909042046