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561249695556 = 2232112113512
BaseRepresentation
bin10000010101011010001…
…01101011011101000100
31222122200110022122000100
420022231011223131010
533143414410224211
61105500132444100
755356201461334
oct10125505533504
91878613278010
10561249695556
111a702a904300
1290935479630
1340c0577c094
141d243a610c4
15e8ece3b156
hex82ad16b744

561249695556 has 81 divisors (see below), whose sum is σ = 1559550860959. Its totient is φ = 170060682000.

The previous prime is 561249695527. The next prime is 561249695569. The reversal of 561249695556 is 655596942165.

It is a happy number.

The square root of 561249695556 is 749166.

It is a perfect power (a square), and thus also a powerful number.

561249695556 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 496 + 95 + 5 + 56 = 666.

It is a super-2 number, since 2×5612496955562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 561249695493 and 561249695502.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49439281 + ... + 49450631.

Almost surely, 2561249695556 is an apocalyptic number.

561249695556 is the 749166-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561249695556

561249695556 is an abundant number, since it is smaller than the sum of its proper divisors (998301165403).

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

561249695556 is a wasteful number, since it uses less digits than its factorization.

561249695556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22734 (or 11367 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 63.

The spelling of 561249695556 in words is "five hundred sixty-one billion, two hundred forty-nine million, six hundred ninety-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 11351 22702 34053 45404 68106 102159 124861 136212 204318 249722 374583 408636 499444 749166 1123749 1373471 1498332 2247498 2746942 4120413 4494996 5493884 8240826 12361239 16481652 24722478 49444956 128845201 257690402 386535603 515380804 773071206 1159606809 1417297211 1546142412 2319213618 2834594422 4251891633 4638427236 5669188844 8503783266 12755674899 15590269321 17007566532 25511349798 31180538642 46770807963 51022699596 62361077284 93541615926 140312423889 187083231852 280624847778 561249695556