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2906541690 = 2351311936247
BaseRepresentation
bin1010110100111110…
…0100111001111010
321111120011121122020
42231033210321322
521423033313230
61200225135310
7132012124323
oct25517447172
97446147566
102906541690
111261737878
1269148a536
13374221470
141d803944a
15120282810
hexad3e4e7a

2906541690 has 64 divisors (see below), whose sum is σ = 7519792896. Its totient is φ = 714742272.

The previous prime is 2906541683. The next prime is 2906541707. The reversal of 2906541690 is 961456092.

It is a happy number.

It is a super-2 number, since 2×29065416902 = 16895969191416112200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 462147 + ... + 468393.

It is an arithmetic number, because the mean of its divisors is an integer number (117496764).

Almost surely, 22906541690 is an apocalyptic number.

2906541690 is an abundant number, since it is smaller than the sum of its proper divisors (4613251206).

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

2906541690 is a wasteful number, since it uses less digits than its factorization.

2906541690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2906541690 is about 53912.3519242112. The cubic root of 2906541690 is about 1427.1146099616.

The spelling of 2906541690 in words is "two billion, nine hundred six million, five hundred forty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1193 2386 3579 5965 6247 7158 11930 12494 15509 17895 18741 31018 31235 35790 37482 46527 62470 77545 81211 93054 93705 155090 162422 187410 232635 243633 406055 465270 487266 812110 1218165 2436330 7452671 14905342 22358013 37263355 44716026 74526710 96884723 111790065 193769446 223580130 290654169 484423615 581308338 968847230 1453270845 2906541690