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2993435680 = 25529645137
BaseRepresentation
bin1011001001101100…
…0011010000100000
321201121200021210011
42302123003100200
522112304420210
61213011414304
7134115532504
oct26233032040
97647607704
102993435680
1112a6797594
126b65b4394
13389226721
142057b8304
15127be8d8a
hexb26c3420

2993435680 has 48 divisors (see below), whose sum is σ = 7315864920. Its totient is φ = 1156083712.

The previous prime is 2993435663. The next prime is 2993435681. The reversal of 2993435680 is 865343992.

It can be written as a sum of positive squares in 4 ways, for example, as 1734889104 + 1258546576 = 41652^2 + 35476^2 .

It is not an unprimeable number, because it can be changed into a prime (2993435681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317929 + ... + 327208.

Almost surely, 22993435680 is an apocalyptic number.

2993435680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2993435680 is an abundant number, since it is smaller than the sum of its proper divisors (4322429240).

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

2993435680 is a wasteful number, since it uses less digits than its factorization.

2993435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645181 (or 645173 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The square root of 2993435680 is about 54712.2991657269. The cubic root of 2993435680 is about 1441.1968701603.

The spelling of 2993435680 in words is "two billion, nine hundred ninety-three million, four hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 645137 1290274 2580548 3225685 5161096 6451370 10322192 12902740 18708973 20644384 25805480 37417946 51610960 74835892 93544865 103221920 149671784 187089730 299343568 374179460 598687136 748358920 1496717840 2993435680