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20106433935 = 3257193359471
BaseRepresentation
bin10010101110011011…
…111101010110001111
31220220020210200011100
4102232123331112033
5312134221341220
613123050354143
71311153603630
oct225633752617
956806720140
1020106433935
118588615455
123a9172b953
131b85761ab3
14d8a4ad887
157ca291d90
hex4ae6fd58f

20106433935 has 48 divisors (see below), whose sum is σ = 41926210560. Its totient is φ = 8707746240.

The previous prime is 20106433901. The next prime is 20106433937. The reversal of 20106433935 is 53933460102.

It is a happy number.

20106433935 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 643 + 3 + 9 + 3 + 5 = 666.

It is not a de Polignac number, because 20106433935 - 28 = 20106433679 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20106433935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20106433937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673751 + ... + 1685720.

It is an arithmetic number, because the mean of its divisors is an integer number (873462720).

Almost surely, 220106433935 is an apocalyptic number.

20106433935 is an abundant number, since it is smaller than the sum of its proper divisors (21819776625).

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

20106433935 is a wasteful number, since it uses less digits than its factorization.

20106433935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359508 (or 3359505 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 20106433935 in words is "twenty billion, one hundred six million, four hundred thirty-three thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 3359471 10078413 16797355 23516297 30235239 50392065 63829949 70548891 117581485 151176195 191489847 211646673 319149745 352744455 446809643 574469541 957449235 1058233365 1340428929 2234048215 2872347705 4021286787 6702144645 20106433935