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56861267850 = 232528910114057
BaseRepresentation
bin110100111101001100…
…100001011110001010
312102202202111200200100
4310331030201132022
51412422441032400
642042142150230
74052034542052
oct647514413612
9172682450610
1056861267850
1122129781152
12b02a882376
1354923c072a
142a75a96562
15172be08100
hexd3d32178a

56861267850 has 144 divisors (see below), whose sum is σ = 156024399960. Its totient is φ = 14843136000.

The previous prime is 56861267839. The next prime is 56861267861. The reversal of 56861267850 is 5876216865.

56861267850 is a `hidden beast` number, since 568 + 6 + 1 + 2 + 6 + 78 + 5 + 0 = 666.

56861267850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56861267839) and next prime (56861267861).

It can be written as a sum of positive squares in 12 ways, for example, as 317659329 + 56543608521 = 17823^2 + 237789^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4038022 + ... + 4052078.

Almost surely, 256861267850 is an apocalyptic number.

56861267850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56861267850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78012199980).

56861267850 is an abundant number, since it is smaller than the sum of its proper divisors (99163132110).

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

56861267850 is a wasteful number, since it uses less digits than its factorization.

56861267850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14265 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 56861267850 in words is "fifty-six billion, eight hundred sixty-one million, two hundred sixty-seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 101 150 178 202 225 267 303 445 450 505 534 606 801 890 909 1010 1335 1515 1602 1818 2225 2525 2670 3030 4005 4450 4545 5050 6675 7575 8010 8989 9090 13350 14057 15150 17978 20025 22725 26967 28114 40050 42171 44945 45450 53934 70285 80901 84342 89890 126513 134835 140570 161802 210855 224725 253026 269670 351425 404505 421710 449450 632565 674175 702850 809010 1054275 1251073 1265130 1348350 1419757 2022525 2108550 2502146 2839514 3162825 3753219 4045050 4259271 6255365 6325650 7098785 7506438 8518542 11259657 12510730 12777813 14197570 18766095 21296355 22519314 25555626 31276825 35493925 37532190 42592710 56298285 62553650 63889065 70987850 93830475 106481775 112596570 126358373 127778130 187660950 212963550 252716746 281491425 319445325 379075119 562982850 631791865 638890650 758150238 1137225357 1263583730 1895375595 2274450714 3158959325 3790751190 5686126785 6317918650 9476877975 11372253570 18953755950 28430633925 56861267850