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100406643066 = 235895123081
BaseRepresentation
bin101110110000010110…
…0111100100101111010
3100121011111210221200000
41131200230330211322
53121113100034231
6114043130453430
710153112245542
oct1354054744572
9317144727600
10100406643066
1139644a29054
1217561b94276
139611b38942
144c07074322
152929cb16e6
hex1760b3c97a

100406643066 has 48 divisors (see below), whose sum is σ = 225640029888. Its totient is φ = 33463692000.

The previous prime is 100406643013. The next prime is 100406643229. The reversal of 100406643066 is 660346604001.

100406643066 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 6 + 643 + 0 + 6 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100406643066.

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, 4338646 + ... + 4361726.

It is an arithmetic number, because the mean of its divisors is an integer number (4700833956).

Almost surely, 2100406643066 is an apocalyptic number.

100406643066 is an abundant number, since it is smaller than the sum of its proper divisors (125233386822).

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

100406643066 is an equidigital number, since it uses as much as digits as its factorization.

100406643066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32049 (or 32037 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 100406643066 in words is "one hundred billion, four hundred six million, six hundred forty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 8951 17902 23081 26853 46162 53706 69243 80559 138486 161118 207729 241677 415458 483354 623187 725031 1246374 1450062 1869561 2175093 3739122 4350186 5608683 11217366 206598031 413196062 619794093 1239588186 1859382279 3718764558 5578146837 11156293674 16734440511 33468881022 50203321533 100406643066