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2993228666420 = 225283213672
BaseRepresentation
bin101011100011101010010…
…101001101011000110100
3101121011001020210220000112
4223203222111031120310
5343020113014311140
610211023102202152
7426152665604546
oct53435225153064
911534036726015
102993228666420
11a5446a604623
12404136283358
1318934ca0a245
14a4c318a1696
1552cda047c65
hex2b8ea54d634

2993228666420 has 54 divisors (see below), whose sum is σ = 6312687832962. Its totient is φ = 1192187996256.

The previous prime is 2993228666413. The next prime is 2993228666443. The reversal of 2993228666420 is 246668223992.

2993228666420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2394582933136 + 598645733284 = 1547444^2 + 773722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2993228666420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2189632577 + ... + 2189633943.

Almost surely, 22993228666420 is an apocalyptic number.

2993228666420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2993228666420 is an abundant number, since it is smaller than the sum of its proper divisors (3319459166542).

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

2993228666420 is an frugal number, since it uses more digits than its factorization.

2993228666420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 2993228666420 in words is "two trillion, nine hundred ninety-three billion, two hundred twenty-eight million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 283 566 1132 1367 1415 2734 2830 5468 5660 6835 13670 27340 80089 160178 320356 386861 400445 773722 800890 1547444 1601780 1868689 1934305 3737378 3868610 7474756 7737220 9343445 18686890 37373780 109481663 218963326 437926652 528838987 547408315 1057677974 1094816630 2115355948 2189633260 2644194935 5288389870 10576779740 149661433321 299322866642 598645733284 748307166605 1496614333210 2993228666420