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21761713242 = 2327057171317
BaseRepresentation
bin10100010001000110…
…010110010001011010
32002011121111120111100
4110101012112101122
5324031444310432
613555221012230
71400163340053
oct242106262132
962147446440
1021761713242
119257a13285
124273b54076
13208a680bc9
1410a627372a
1587576007c
hex51119645a

21761713242 has 24 divisors (see below), whose sum is σ = 47157335316. Its totient is φ = 7252834176.

The previous prime is 21761713241. The next prime is 21761713301. The reversal of 21761713242 is 24231716712.

21761713242 is a `hidden beast` number, since 2 + 1 + 7 + 617 + 1 + 32 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20402979921 + 1358733321 = 142839^2 + 36861^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21761713197 and 21761713206.

It is not an unprimeable number, because it can be changed into a prime (21761713241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41368 + ... + 212684.

Almost surely, 221761713242 is an apocalyptic number.

21761713242 is an abundant number, since it is smaller than the sum of its proper divisors (25395622074).

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

21761713242 is a wasteful number, since it uses less digits than its factorization.

21761713242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178382 (or 178379 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 21761713242 in words is "twenty-one billion, seven hundred sixty-one million, seven hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 7057 14114 21171 42342 63513 127026 171317 342634 513951 1027902 1541853 3083706 1208984069 2417968138 3626952207 7253904414 10880856621 21761713242