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21741242256 = 2432293515293
BaseRepresentation
bin10100001111111000…
…010000011110010000
32002010011222112120200
4110033320100132100
5324011224223011
613553210135200
71366524336636
oct241770203620
962104875520
1021741242256
119247401108
124269121500
1320863642b6
1410a3665356
15873a69856
hex50fe10790

21741242256 has 60 divisors (see below), whose sum is σ = 61053063708. Its totient is φ = 7222332672.

The previous prime is 21741242239. The next prime is 21741242267. The reversal of 21741242256 is 65224214712.

21741242256 is a `hidden beast` number, since 2 + 17 + 412 + 4 + 225 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8745242256 + 12996000000 = 93516^2 + 114000^2 .

It is a super-2 number, since 2×217412422562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21741242256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215455 + ... + 299838.

Almost surely, 221741242256 is an apocalyptic number.

It is an amenable number.

21741242256 is an abundant number, since it is smaller than the sum of its proper divisors (39311821452).

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

21741242256 is a wasteful number, since it uses less digits than its factorization.

21741242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515600 (or 515591 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

Adding to 21741242256 its reverse (65224214712), we get a palindrome (86965456968).

The spelling of 21741242256 in words is "twenty-one billion, seven hundred forty-one million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 10548 14064 21096 42192 515293 1030586 1545879 2061172 3091758 4122344 4637637 6183516 8244688 9275274 12367032 18550548 24734064 37101096 74202192 150980849 301961698 452942547 603923396 905885094 1207846792 1358827641 1811770188 2415693584 2717655282 3623540376 5435310564 7247080752 10870621128 21741242256