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19982777418072 = 2333713216122631
BaseRepresentation
bin1001000101100100110100…
…10110011000000101011000
32121202100001010010200202000
410202302122112120011120
510104344212004334242
6110255543342241000
74131464565341520
oct442623226300530
977670033120660
1019982777418072
1164047149a2357
1222a8967886160
13b1c4a215a961
144d1258b9c680
15249be7d93a4c
hex122c9a598158

19982777418072 has 64 divisors (see below), whose sum is σ = 63437388633600. Its totient is φ = 5709364976160.

The previous prime is 19982777418031. The next prime is 19982777418113. The reversal of 19982777418072 is 27081477728991.

It is an interprime number because it is at equal distance from previous prime (19982777418031) and next prime (19982777418113).

It is a super-2 number, since 2×199827774180722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6608059804 + ... + 6608062827.

It is an arithmetic number, because the mean of its divisors is an integer number (991209197400).

Almost surely, 219982777418072 is an apocalyptic number.

19982777418072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19982777418072 is an abundant number, since it is smaller than the sum of its proper divisors (43454611215528).

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

19982777418072 is a wasteful number, since it uses less digits than its factorization.

19982777418072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13216122653 (or 13216122643 counting only the distinct ones).

The product of its (nonzero) digits is 199148544, while the sum is 72.

The spelling of 19982777418072 in words is "nineteen trillion, nine hundred eighty-two billion, seven hundred seventy-seven million, four hundred eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 13216122631 26432245262 39648367893 52864490524 79296735786 92512858417 105728981048 118945103679 158593471572 185025716834 237890207358 277538575251 317186943144 356835311037 370051433668 475780414716 555077150502 713670622074 740102867336 832615725753 951560829432 1110154301004 1427341244148 1665231451506 2220308602008 2497847177259 2854682488296 3330462903012 4995694354518 6660925806024 9991388709036 19982777418072