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56106110060 = 225711213254773
BaseRepresentation
bin110100010000001011…
…110100110001101100
312100211010112200221022
4310100023310301230
51404401131010220
641435204353312
74024235031620
oct642013646154
9170733480838
1056106110060
1121881488a00
12aa599a5838
1353a1b0b3c0
142a03681180
1516d598c925
hexd102f4c6c

56106110060 has 144 divisors (see below), whose sum is σ = 159394767168. Its totient is φ = 16142353920.

The previous prime is 56106110029. The next prime is 56106110063. The reversal of 56106110060 is 6001160165.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (56106110063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92834 + ... + 347606.

Almost surely, 256106110060 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 56106110060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79697383584).

56106110060 is an abundant number, since it is smaller than the sum of its proper divisors (103288657108).

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

56106110060 is a wasteful number, since it uses less digits than its factorization.

56106110060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254824 (or 254811 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 56106110060 in words is "fifty-six billion, one hundred six million, one hundred ten thousand, sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 254773 509546 1019092 1273865 1783411 2547730 2802503 3312049 3566822 5095460 5605006 6624098 7133644 8917055 11210012 13248196 14012515 16560245 17834110 19617521 23184343 28025030 30827533 33120490 35668220 36432539 39235042 46368686 56050060 61655066 66240980 72865078 78470084 92737372 98087605 115921715 123310132 145730156 154137665 182162695 196175210 215792731 231843430 255027773 308275330 364325390 392350420 400757929 431585462 463686860 510055546 616550660 728650780 801515858 863170924 1020111092 1078963655 1275138865 1603031716 2003789645 2157927310 2550277730 2805305503 4007579290 4315854620 5100555460 5610611006 8015158580 11221222012 14026527515 28053055030 56106110060