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20218081104 = 2432132830789
BaseRepresentation
bin10010110101000101…
…110110111101010000
31221012000212221021200
4102311011312331100
5312401312043404
613142115351200
71314010565604
oct226505667520
957160787250
1020218081104
118635641641
123b02bb2500
131ba2922b00
14d9b253504
157d4e97839
hex4b5176f50

20218081104 has 90 divisors (see below), whose sum is σ = 61269931710. Its totient is φ = 6220940544.

The previous prime is 20218081087. The next prime is 20218081109. The reversal of 20218081104 is 40118081202.

It can be written as a sum of positive squares in 3 ways, for example, as 10890000 + 20207191104 = 3300^2 + 142152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218081109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 391059 + ... + 439730.

It is an arithmetic number, because the mean of its divisors is an integer number (680777019).

Almost surely, 220218081104 is an apocalyptic number.

20218081104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20218081104 is an abundant number, since it is smaller than the sum of its proper divisors (41051850606).

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

20218081104 is a wasteful number, since it uses less digits than its factorization.

20218081104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830829 (or 830807 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 20218081104 in words is "twenty billion, two hundred eighteen million, eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 830789 1661578 2492367 3323156 4984734 6646312 7477101 9969468 10800257 13292624 14954202 19938936 21600514 29908404 32400771 39877872 43201028 59816808 64801542 86402056 97202313 119633616 129603084 140403341 172804112 194404626 259206168 280806682 388809252 421210023 518412336 561613364 777618504 842420046 1123226728 1263630069 1555237008 1684840092 2246453456 2527260138 3369680184 5054520276 6739360368 10109040552 20218081104