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10066571976 = 2335925492789
BaseRepresentation
bin10010110000000001…
…11011001011001000
3221222120000211201010
421120000323023020
5131104020300401
64342521323520
7504313310226
oct113000731310
927876024633
1010066571976
1142a635457a
121b4b3365a0
13c45728886
146b6d31b16
153ddb5ced6
hex25803b2c8

10066571976 has 64 divisors (see below), whose sum is σ = 25612200000. Its totient is φ = 3296174336.

The previous prime is 10066571881. The next prime is 10066572007. The reversal of 10066571976 is 67917566001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3607990 + ... + 3610778.

It is an arithmetic number, because the mean of its divisors is an integer number (400190625).

Almost surely, 210066571976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066571976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100000).

10066571976 is an abundant number, since it is smaller than the sum of its proper divisors (15545628024).

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

10066571976 is a wasteful number, since it uses less digits than its factorization.

10066571976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10066571976 in words is "ten billion, sixty-six million, five hundred seventy-one thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 708 1416 2549 2789 5098 5578 7647 8367 10196 11156 15294 16734 20392 22312 30588 33468 61176 66936 150391 164551 300782 329102 451173 493653 601564 658204 902346 987306 1203128 1316408 1804692 1974612 3609384 3949224 7109161 14218322 21327483 28436644 42654966 56873288 85309932 170619864 419440499 838880998 1258321497 1677761996 2516642994 3355523992 5033285988 10066571976