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41664566900 = 22521159641981
BaseRepresentation
bin100110110011011001…
…101101011001110100
310222112200020022000102
4212303121231121310
51140312112120100
631050200133232
73003325655345
oct466331553164
9128480208012
1041664566900
111674061a870
1280a9467218
133c0cba3ba8
1420336ac0cc
15113cbdbcd5
hex9b366d674

41664566900 has 72 divisors (see below), whose sum is σ = 100303267680. Its totient is φ = 14893936000.

The previous prime is 41664566893. The next prime is 41664566947. The reversal of 41664566900 is 966546614.

It is a super-2 number, since 2×416645669002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256091 + ... + 385890.

It is an arithmetic number, because the mean of its divisors is an integer number (1393100940).

Almost surely, 241664566900 is an apocalyptic number.

It is an amenable number.

41664566900 is an abundant number, since it is smaller than the sum of its proper divisors (58638700780).

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

41664566900 is a wasteful number, since it uses less digits than its factorization.

41664566900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642065 (or 642058 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 41664566900 in words is "forty-one billion, six hundred sixty-four million, five hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 64900 641981 1283962 2567924 3209905 6419810 7061791 12839620 14123582 16049525 28247164 32099050 35308955 37876879 64198100 70617910 75753758 141235820 151507516 176544775 189384395 353089550 378768790 416645669 706179100 757537580 833291338 946921975 1666582676 1893843950 2083228345 3787687900 4166456690 8332913380 10416141725 20832283450 41664566900