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56050056060 = 223537148716979
BaseRepresentation
bin110100001100110101…
…111111101101111100
312100200020001212022020
4310030311333231330
51404242303243220
641425443120140
74022654421105
oct641465775574
9170606055266
1056050056060
1121852882789
12aa43073050
13539331355b
1429da04d3ac
1516d0ab9040
hexd0cd7fb7c

56050056060 has 96 divisors (see below), whose sum is σ = 161299676160. Its totient is φ = 14532081408.

The previous prime is 56050056059. The next prime is 56050056061. The reversal of 56050056060 is 6065005065.

It is an interprime number because it is at equal distance from previous prime (56050056059) and next prime (56050056061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56050056061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3292651 + ... + 3309629.

It is an arithmetic number, because the mean of its divisors is an integer number (1680204960).

Almost surely, 256050056060 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 56050056060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80649838080).

56050056060 is an abundant number, since it is smaller than the sum of its proper divisors (105249620100).

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

56050056060 is a wasteful number, since it uses less digits than its factorization.

56050056060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18515 (or 18513 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 56050056060 in words is "fifty-six billion, fifty million, fifty-six thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1487 2220 2974 4461 5948 7435 8922 14870 16979 17844 22305 29740 33958 44610 50937 55019 67916 84895 89220 101874 110038 165057 169790 203748 220076 254685 275095 330114 339580 509370 550190 628223 660228 825285 1018740 1100380 1256446 1650570 1884669 2512892 3141115 3301140 3769338 6282230 7538676 9423345 12564460 18846690 25247773 37693380 50495546 75743319 100991092 126238865 151486638 252477730 302973276 378716595 504955460 757433190 934167601 1514866380 1868335202 2802502803 3736670404 4670838005 5605005606 9341676010 11210011212 14012514015 18683352020 28025028030 56050056060