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20351656514145 = 35117110117200303
BaseRepresentation
bin1001010000010011111010…
…10000011101001001100001
32200001121011221020100020110
410220021331100131021201
510131420143031423040
6111141231045401533
74200234010045305
oct450117520351141
980047157210213
1020351656514145
1165370a8598a40
1223483547092a9
13b481cb114538
1450504dad5d05
152545d754d980
hex12827d41d261

20351656514145 has 64 divisors (see below), whose sum is σ = 36379881381888. Its totient is φ = 9632169120000.

The previous prime is 20351656514143. The next prime is 20351656514227. The reversal of 20351656514145 is 54141565615302.

It is not a de Polignac number, because 20351656514145 - 21 = 20351656514143 is a prime.

It is a super-2 number, since 2×203516565141452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20351656514094 and 20351656514103.

It is not an unprimeable number, because it can be changed into a prime (20351656514143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7416937 + ... + 9783366.

It is an arithmetic number, because the mean of its divisors is an integer number (568435646592).

Almost surely, 220351656514145 is an apocalyptic number.

It is an amenable number.

20351656514145 is a deficient number, since it is larger than the sum of its proper divisors (16028224867743).

20351656514145 is a wasteful number, since it uses less digits than its factorization.

20351656514145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17200494.

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 20351656514145 in words is "twenty trillion, three hundred fifty-one billion, six hundred fifty-six million, five hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 11 15 33 55 71 101 165 213 303 355 505 781 1065 1111 1515 2343 3333 3905 5555 7171 11715 16665 21513 35855 78881 107565 236643 394405 1183215 17200303 51600909 86001515 189203333 258004545 567609999 946016665 1221221513 1737230603 2838049995 3663664539 5211691809 6106107565 8686153015 13433436643 18318322695 19109536633 26058459045 40300309929 57328609899 67167183215 95547683165 123343372813 201501549645 286643049495 370030118439 616716864065 1356777100943 1850150592195 4070331302829 6783885504715 20351656514145