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20461344316402 = 21119809136744263
BaseRepresentation
bin1001010011100000001110…
…01010001101101111110010
32200110002022021012000211011
410221300013022031233302
510140214313121111102
6111303451203541134
74211166121014253
oct451600712155762
980402267160734
1020461344316402
116579675493290
12236566698a7aa
13b5565ba32642
1450a49764cb2a
152573a70282d7
hex129c0728dbf2

20461344316402 has 64 divisors (see below), whose sum is σ = 35314598246400. Its totient is φ = 8793577572480.

The previous prime is 20461344316381. The next prime is 20461344316493.

20461344316402 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×204613443164022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462245323 + ... + 462289585.

It is an arithmetic number, because the mean of its divisors is an integer number (551790597600).

Almost surely, 220461344316402 is an apocalyptic number.

20461344316402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20461344316402 is a deficient number, since it is larger than the sum of its proper divisors (14853253929998).

20461344316402 is a wasteful number, since it uses less digits than its factorization.

20461344316402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46471.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 20461344316402 in words is "twenty trillion, four hundred sixty-one billion, three hundred forty-four million, three hundred sixteen thousand, four hundred two".

Divisors: 1 2 11 19 22 38 209 418 809 1367 1618 2734 8899 15037 15371 17798 25973 30074 30742 44263 51946 88526 169081 285703 338162 486893 571406 840997 973786 1105903 1681994 2211806 9250967 12164933 18501934 21012157 24329866 35808767 42024314 60507521 71617534 121015042 231133727 393896437 462267454 665582731 680366573 787792874 1149642899 1331165462 1360733146 2299285798 7484032303 12646071889 14968064606 25292143778 48950584489 97901168978 538456429379 930061105291 1076912858758 1860122210582 10230672158201 20461344316402