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56229056208 = 24321357752057
BaseRepresentation
bin110100010111100000…
…110100111011010000
312101010200220000100100
4310113200310323100
51410124114244313
641455315452400
74030260043323
oct642740647320
9171120800310
1056229056208
1121934922196
12aa92bb7100
1353c14272c0
142a15b267ba
1516e1676173
hexd17834ed0

56229056208 has 120 divisors (see below), whose sum is σ = 169765094408. Its totient is φ = 17270931456.

The previous prime is 56229056173. The next prime is 56229056237. The reversal of 56229056208 is 80265092265.

56229056208 is a `hidden beast` number, since 5 + 62 + 29 + 0 + 562 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20964723264 + 35264332944 = 144792^2 + 187788^2 .

It is a super-3 number, since 3×562290562083 (a number of 33 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054116 + ... + 1106172.

Almost surely, 256229056208 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 56229056208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84882547204).

56229056208 is an abundant number, since it is smaller than the sum of its proper divisors (113536038200).

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

56229056208 is a wasteful number, since it uses less digits than its factorization.

56229056208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52661 (or 52652 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56229056208 in words is "fifty-six billion, two hundred twenty-nine million, fifty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 577 624 936 1154 1731 1872 2308 3462 4616 5193 6924 7501 9232 10386 13848 15002 20772 22503 27696 30004 41544 45006 52057 60008 67509 83088 90012 104114 120016 135018 156171 180024 208228 270036 312342 360048 416456 468513 540072 624684 676741 832912 937026 1080144 1249368 1353482 1874052 2030223 2498736 2706964 3748104 4060446 5413928 6090669 7496208 8120892 10827856 12181338 16241784 24362676 30036889 32483568 48725352 60073778 90110667 97450704 120147556 180221334 240295112 270332001 360442668 390479557 480590224 540664002 720885336 780959114 1081328004 1171438671 1441770672 1561918228 2162656008 2342877342 3123836456 3514316013 4325312016 4685754684 6247672912 7028632026 9371509368 14057264052 18743018736 28114528104 56229056208