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2942661690 = 233559318379
BaseRepresentation
bin1010111101100101…
…0111010000111010
321121002010200222000
42233121113100322
522011310133230
61203555241430
7132631132413
oct25731272072
97532120860
102942661690
111280068311
126a15a9276
1337b859c47
141dcb5c80a
15123519b60
hexaf65743a

2942661690 has 64 divisors (see below), whose sum is σ = 7860758400. Its totient is φ = 783343872.

The previous prime is 2942661649. The next prime is 2942661719. The reversal of 2942661690 is 961662492.

2942661690 is a `hidden beast` number, since 2 + 9 + 4 + 26 + 616 + 9 + 0 = 666.

It is a super-2 number, since 2×29426616902 = 17318515643587312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 150921 + ... + 169299.

It is an arithmetic number, because the mean of its divisors is an integer number (122824350).

Almost surely, 22942661690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942661690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930379200).

2942661690 is an abundant number, since it is smaller than the sum of its proper divisors (4918096710).

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

2942661690 is a wasteful number, since it uses less digits than its factorization.

2942661690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18988 (or 18982 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2942661690 is about 54246.3057728358. The cubic root of 2942661690 is about 1433.0019402724.

The spelling of 2942661690 in words is "two billion, nine hundred forty-two million, six hundred sixty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 593 1186 1779 2965 3558 5337 5930 8895 10674 16011 17790 18379 26685 32022 36758 53370 55137 80055 91895 110274 160110 165411 183790 275685 330822 496233 551370 827055 992466 1654110 2481165 4962330 10898747 21797494 32696241 54493735 65392482 98088723 108987470 163481205 196177446 294266169 326962410 490443615 588532338 980887230 1471330845 2942661690