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20509019856 = 2434131217297
BaseRepresentation
bin10011000110011011…
…101100111011010000
31221221022100011020000
4103012123230323100
5314000302113411
613231031250000
71324142535543
oct230633547320
957838304200
1020509019856
118774897196
123b84519900
131c1ac9a410
14dc7b4885a
158007b6956
hex4c66eced0

20509019856 has 100 divisors (see below), whose sum is σ = 63925187172. Its totient is φ = 6310462464.

The previous prime is 20509019837. The next prime is 20509019857. The reversal of 20509019856 is 65891090502.

20509019856 is a `hidden beast` number, since 2 + 0 + 509 + 0 + 1 + 98 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5580090000 + 14928929856 = 74700^2 + 122184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20509019857) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 591801 + ... + 625496.

Almost surely, 220509019856 is an apocalyptic number.

20509019856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20509019856 is an abundant number, since it is smaller than the sum of its proper divisors (43416167316).

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

20509019856 is a wasteful number, since it uses less digits than its factorization.

20509019856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217330 (or 1217315 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 20509019856 in words is "twenty billion, five hundred nine million, nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 1217297 2434594 3651891 4869188 7303782 9738376 10955673 14607564 15824861 19476752 21911346 29215128 31649722 32867019 43822692 47474583 58430256 63299444 65734038 87645384 94949166 98601057 126598888 131468076 142423749 175290768 189898332 197202114 253197776 262936152 284847498 379796664 394404228 427271247 525872304 569694996 759593328 788808456 854542494 1139389992 1281813741 1577616912 1709084988 2278779984 2563627482 3418169976 5127254964 6836339952 10254509928 20509019856