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51134285344 = 25193722310193
BaseRepresentation
bin101111100111110101…
…110100011000100000
311212222122011211121011
4233213311310120200
51314210334112334
635254001110304
73460104153052
oct574765643040
9155878154534
1051134285344
111a75aa7545a
129ab0928394
134a8ba6609c
1426912358d2
1514e424e564
hexbe7d74620

51134285344 has 96 divisors (see below), whose sum is σ = 109331873280. Its totient is φ = 23458885632.

The previous prime is 51134285317. The next prime is 51134285369. The reversal of 51134285344 is 44358243115.

It is a super-2 number, since 2×511342853442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51134285297 and 51134285306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011512 + ... + 5021704.

It is an arithmetic number, because the mean of its divisors is an integer number (1138873680).

Almost surely, 251134285344 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 51134285344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665936640).

51134285344 is an abundant number, since it is smaller than the sum of its proper divisors (58197587936).

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

51134285344 is a wasteful number, since it uses less digits than its factorization.

51134285344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10474 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 51134285344 in words is "fifty-one billion, one hundred thirty-four million, two hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 223 296 304 446 592 608 703 892 1184 1406 1784 2812 3568 4237 5624 7136 8251 8474 10193 11248 16502 16948 20386 22496 33004 33896 40772 66008 67792 81544 132016 135584 156769 163088 193667 264032 313538 326176 377141 387334 627076 754282 774668 1254152 1508564 1549336 2273039 2508304 3017128 3098672 4546078 5016608 6034256 6197344 7165679 9092156 12068512 14331358 18184312 28662716 36368624 43187741 57325432 72737248 84102443 86375482 114650864 168204886 172750964 229301728 336409772 345501928 672819544 691003856 1345639088 1382007712 1597946417 2691278176 3195892834 6391785668 12783571336 25567142672 51134285344