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19242244008 = 2334132175709
BaseRepresentation
bin10001111010111011…
…010101011110101000
31211200000200021110000
4101322323111132220
5303402003302013
612501220023000
71250561242521
oct217273253650
954600607400
1019242244008
1181848217a9
123890231a60
131a786c5b00
14d077d5848
1577948a973
hex47aed57a8

19242244008 has 120 divisors (see below), whose sum is σ = 58361197950. Its totient is φ = 5920656768.

The previous prime is 19242244001. The next prime is 19242244031. The reversal of 19242244008 is 80044224291.

19242244008 is a `hidden beast` number, since 1 + 9 + 24 + 224 + 400 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7814206404 + 11428037604 = 88398^2 + 106902^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19242244001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21658 + ... + 197366.

Almost surely, 219242244008 is an apocalyptic number.

19242244008 is a gapful number since it is divisible by the number (18) 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 19242244008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180598975).

19242244008 is an abundant number, since it is smaller than the sum of its proper divisors (39118953942).

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

19242244008 is a wasteful number, since it uses less digits than its factorization.

19242244008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175753 (or 175727 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 19242244008 its reverse (80044224291), we get a palindrome (99286468299).

The spelling of 19242244008 in words is "nineteen billion, two hundred forty-two million, two hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 936 1014 1053 1352 1404 1521 2028 2106 2808 3042 4056 4212 4563 6084 8424 9126 12168 13689 18252 27378 36504 54756 109512 175709 351418 527127 702836 1054254 1405672 1581381 2108508 2284217 3162762 4217016 4568434 4744143 6325524 6852651 9136868 9488286 12651048 13705302 14232429 18273736 18976572 20557953 27410604 28464858 29694821 37953144 41115906 54821208 56929716 59389642 61673859 82231812 89084463 113859432 118779284 123347718 164463624 178168926 185021577 237558568 246695436 267253389 356337852 370043154 493390872 534506778 712675704 740086308 801760167 1069013556 1480172616 1603520334 2138027112 2405280501 3207040668 4810561002 6414081336 9621122004 19242244008