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3668970000 = 24354122299
BaseRepresentation
bin1101101010110000…
…0000101000010000
3100110200210222122210
43122230000220100
530003224020000
61404022432120
7156630505353
oct33254005020
910420728583
103668970000
111613046513
12864892640
1346617ab87
1426b3c429a
15167187350
hexdab00a10

3668970000 has 100 divisors (see below), whose sum is σ = 11844021200. Its totient is φ = 978384000.

The previous prime is 3668969963. The next prime is 3668970013. The reversal of 3668970000 is 798663.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×36689700002 = 26922681721800000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31150 + ... + 91149.

It is an arithmetic number, because the mean of its divisors is an integer number (118440212).

Almost surely, 23668970000 is an apocalyptic number.

3668970000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3668970000 is an abundant number, since it is smaller than the sum of its proper divisors (8175051200).

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

3668970000 is a wasteful number, since it uses less digits than its factorization.

3668970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122330 (or 122309 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 3668970000 is about 60572.0232450593. The cubic root of 3668970000 is about 1542.3444921320.

The spelling of 3668970000 in words is "three billion, six hundred sixty-eight million, nine hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 122299 244598 366897 489196 611495 733794 978392 1222990 1467588 1834485 1956784 2445980 2935176 3057475 3668970 4891960 5870352 6114950 7337940 9172425 9783920 12229900 14675880 15287375 18344850 24459800 29351760 30574750 36689700 45862125 48919600 61149500 73379400 76436875 91724250 122299000 146758800 152873750 183448500 229310625 244598000 305747500 366897000 458621250 611495000 733794000 917242500 1222990000 1834485000 3668970000