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10105606004 = 22131750322727
BaseRepresentation
bin10010110100101011…
…10100111101110100
3222002021110222022212
421122111310331310
5131144013343004
64350434112552
7505266143114
oct113225647564
928067428285
1010105606004
1143163953aa
121b6041b758
13c50844830
146bc1b3044
153e22bd96e
hex25a574f74

10105606004 has 48 divisors (see below), whose sum is σ = 20206464768. Its totient is φ = 4380845568.

The previous prime is 10105606001. The next prime is 10105606031. The reversal of 10105606004 is 40060650101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105606001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433289 + ... + 456015.

It is an arithmetic number, because the mean of its divisors is an integer number (420968016).

Almost surely, 210105606004 is an apocalyptic number.

It is an amenable number.

10105606004 is a deficient number, since it is larger than the sum of its proper divisors (10100858764).

10105606004 is a wasteful number, since it uses less digits than its factorization.

10105606004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23264 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 10105606004 in words is "ten billion, one hundred five million, six hundred six thousand, four".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 503 884 1006 2012 6539 8551 13078 17102 22727 26156 34204 45454 90908 111163 222326 295451 386359 444652 590902 772718 1181804 1545436 5022667 10045334 11431681 20090668 22863362 45726724 148611853 194338577 297223706 388677154 594447412 777354308 2526401501 5052803002 10105606004