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20456206274361 = 31113174915712647
BaseRepresentation
bin1001010011010110101001…
…11010001000111100111001
32200102121001012001110011210
410221223110322020330321
510140123302301234421
6111301241301513333
74210624601252664
oct451532472107471
980377035043153
1020456206274361
116577479171250
122364672112849
13b55020400990
1450a12b0d66db
152571a5e05576
hex129ad4e88f39

20456206274361 has 64 divisors (see below), whose sum is σ = 33997293582336. Its totient is φ = 10748914713600.

The previous prime is 20456206274347. The next prime is 20456206274393. The reversal of 20456206274361 is 16347260265402.

It is a happy number.

It is not a de Polignac number, because 20456206274361 - 221 = 20456204177209 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20456206274361.

It is not an unprimeable number, because it can be changed into a prime (20456206274311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724540 + ... + 6437186.

It is an arithmetic number, because the mean of its divisors is an integer number (531207712224).

Almost surely, 220456206274361 is an apocalyptic number.

It is an amenable number.

20456206274361 is a deficient number, since it is larger than the sum of its proper divisors (13541087307975).

20456206274361 is a wasteful number, since it uses less digits than its factorization.

20456206274361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713182.

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 20456206274361 in words is "twenty trillion, four hundred fifty-six billion, two hundred six million, two hundred seventy-four thousand, three hundred sixty-one".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 491 561 663 1473 2431 5401 6383 7293 8347 16203 19149 25041 70213 91817 108511 210639 275451 325533 1193621 3580863 5712647 17137941 62839117 74264411 97114999 188517351 222793233 291344997 816908521 1068264989 1262494987 2450725563 2804909677 3204794967 3787484961 8414729031 13887444857 30854006447 36463825801 41662334571 47683464509 92562019341 109391477403 143050393527 401102083811 524518109599 619885038617 1203306251433 1573554328797 1859655115851 6818735424787 20456206274361