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20718420678414 = 232175031066712619
BaseRepresentation
bin1001011010111111000100…
…00110101101011100001110
32201100122212100201022201100
410231133202012231130032
510203422311143202124
6112021524442323530
74235566531025124
oct455374206553416
981318770638640
1020718420678414
1166686a6387aa8
1223a74511b95a6
13b7397ab82994
14518ac3bb7914
1525de011e21c9
hex12d7e21ad70e

20718420678414 has 96 divisors (see below), whose sum is σ = 47633227649280. Its totient is φ = 6485852272896.

The previous prime is 20718420678409. The next prime is 20718420678433. The reversal of 20718420678414 is 41487602481702.

It is a happy number.

20718420678414 is a `hidden beast` number, since 2 + 0 + 7 + 18 + 4 + 206 + 7 + 8 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1641836997 + ... + 1641849615.

It is an arithmetic number, because the mean of its divisors is an integer number (496179454680).

Almost surely, 220718420678414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20718420678414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23816613824640).

20718420678414 is an abundant number, since it is smaller than the sum of its proper divisors (26914806970866).

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

20718420678414 is a wasteful number, since it uses less digits than its factorization.

20718420678414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23814 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 20718420678414 in words is "twenty trillion, seven hundred eighteen billion, four hundred twenty million, six hundred seventy-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 503 1006 1509 3018 4527 8551 9054 10667 12619 17102 21334 25238 25653 32001 37857 51306 64002 75714 76959 96003 113571 153918 181339 192006 214523 227142 362678 429046 544017 643569 1088034 1287138 1632051 1930707 3264102 3861414 5365501 6347357 10731002 12694714 16096503 19042071 32193006 38084142 48289509 57126213 91213517 96579018 107905069 114252426 134606873 182427034 215810138 269213746 273640551 323715207 403820619 547281102 647430414 807641238 820921653 971145621 1211461857 1641843306 1942291242 2288316841 2422923714 4576633682 6864950523 13729901046 20594851569 41189703138 67707257119 135414514238 203121771357 406243542714 609365314071 1151023371023 1218730628142 2302046742046 3453070113069 6906140226138 10359210339207 20718420678414