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561083650944 = 27317938321313
BaseRepresentation
bin10000010101000110011…
…00010001001110000000
31222122020212212200121220
420022203030101032000
533143044403312234
61105431441515040
755352114225265
oct10124314211600
91878225780556
10561083650944
111a6a55103553
12908a9942a80
1340baa25322b
141d22999b26c
15e8dd58ca49
hex82a3311380

561083650944 has 128 divisors (see below), whose sum is σ = 1502688153600. Its totient is φ = 185488736256.

The previous prime is 561083650937. The next prime is 561083650969. The reversal of 561083650944 is 449056380165.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5610836509442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26315232 + ... + 26336544.

It is an arithmetic number, because the mean of its divisors is an integer number (11739751200).

Almost surely, 2561083650944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561083650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751344076800).

561083650944 is an abundant number, since it is smaller than the sum of its proper divisors (941604502656).

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

561083650944 is a wasteful number, since it uses less digits than its factorization.

561083650944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21892 (or 21880 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 561083650944 in words is "five hundred sixty-one billion, eighty-three million, six hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 383 384 537 716 766 1074 1149 1432 1532 2148 2298 2864 3064 4296 4596 5728 6128 8592 9192 11456 12256 17184 18384 21313 22912 24512 34368 36768 42626 49024 63939 68557 68736 73536 85252 127878 137114 147072 170504 205671 255756 274228 341008 411342 511512 548456 682016 822684 1023024 1096912 1364032 1645368 2046048 2193824 2728064 3290736 3815027 4092096 4387648 6581472 7630054 8162879 8184192 8775296 11445081 13162944 15260108 16325758 22890162 24488637 26325888 30520216 32651516 45780324 48977274 61040432 65303032 91560648 97954548 122080864 130606064 183121296 195909096 244161728 261212128 366242592 391818192 488323456 522424256 732485184 783636384 1044848512 1461155341 1464970368 1567272768 2922310682 3134545536 4383466023 5844621364 8766932046 11689242728 17533864092 23378485456 35067728184 46756970912 70135456368 93513941824 140270912736 187027883648 280541825472 561083650944