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19997240328 = 233213163131071
BaseRepresentation
bin10010100111111011…
…011010110000001000
31220121122100001200200
4102213323122300020
5311423243142303
613104150132200
71305356511132
oct224773326010
956548301620
1019997240328
118531a146aa
123a61051060
131b68c4c7b0
14d79ba8052
157c08c33a3
hex4a7edac08

19997240328 has 96 divisors (see below), whose sum is σ = 58683555840. Its totient is φ = 6115201920.

The previous prime is 19997240321. The next prime is 19997240423. The reversal of 19997240328 is 82304279991.

19997240328 is a `hidden beast` number, since 199 + 97 + 2 + 40 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (19997240321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87033 + ... + 218103.

It is an arithmetic number, because the mean of its divisors is an integer number (611287040).

Almost surely, 219997240328 is an apocalyptic number.

19997240328 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 19997240328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29341777920).

19997240328 is an abundant number, since it is smaller than the sum of its proper divisors (38686315512).

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

19997240328 is a wasteful number, since it uses less digits than its factorization.

19997240328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131259 (or 131252 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19997240328 in words is "nineteen billion, nine hundred ninety-seven million, two hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 163 234 312 326 468 489 652 936 978 1304 1467 1956 2119 2934 3912 4238 5868 6357 8476 11736 12714 16952 19071 25428 38142 50856 76284 131071 152568 262142 393213 524284 786426 1048568 1179639 1572852 1703923 2359278 3145704 3407846 4718556 5111769 6815692 9437112 10223538 13631384 15335307 20447076 21364573 30670614 40894152 42729146 61341228 64093719 85458292 122682456 128187438 170916584 192281157 256374876 277739449 384562314 512749752 555478898 769124628 833218347 1110957796 1538249256 1666436694 2221915592 2499655041 3332873388 4999310082 6665746776 9998620164 19997240328