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20106011460 = 22352971162749
BaseRepresentation
bin10010101110011010…
…010110001101000100
31220220020000012122010
4102232122112031010
5312134114331320
613123033334220
71311150164133
oct225632261504
956806005563
1020106011460
118588356aa7
123a91567370
131b85644702
14d8a3dd91a
157ca20bae0
hex4ae696344

20106011460 has 96 divisors (see below), whose sum is σ = 59058720000. Its totient is φ = 5103777280.

The previous prime is 20106011417. The next prime is 20106011473. The reversal of 20106011460 is 6411060102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42166 + ... + 204914.

It is an arithmetic number, because the mean of its divisors is an integer number (615195000).

Almost surely, 220106011460 is an apocalyptic number.

20106011460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20106011460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29529360000).

20106011460 is an abundant number, since it is smaller than the sum of its proper divisors (38952708540).

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

20106011460 is a wasteful number, since it uses less digits than its factorization.

20106011460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162861 (or 162859 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 20106011460 its reverse (6411060102), we get a palindrome (26517071562).

The spelling of 20106011460 in words is "twenty billion, one hundred six million, eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 71 87 116 142 145 174 213 284 290 348 355 426 435 580 710 852 870 1065 1420 1740 2059 2130 4118 4260 6177 8236 10295 12354 20590 24708 30885 41180 61770 123540 162749 325498 488247 650996 813745 976494 1627490 1952988 2441235 3254980 4719721 4882470 9439442 9764940 11555179 14159163 18878884 23110358 23598605 28318326 34665537 46220716 47197210 56636652 57775895 69331074 70795815 94394420 115551790 138662148 141591630 173327685 231103580 283183260 335100191 346655370 670200382 693310740 1005300573 1340400764 1675500955 2010601146 3351001910 4021202292 5026502865 6702003820 10053005730 20106011460