Search a number
-
+
57230919110656 = 212171453565661
BaseRepresentation
bin11010000001101000111001…
…00110101001000000000000
321111122020000011011111012001
431000310130212221000000
530000132410243020111
6321415304332513344
715024540345636154
oct1500643446510000
9244566004144161
1057230919110656
1117265550916045
12650389b01b854
1325c1b10c8a905
14101bdc405d064
15693a92e611c1
hex340d1c9a9000

57230919110656 has 104 divisors (see below), whose sum is σ = 121263707532024. Its totient is φ = 26913614069760.

The previous prime is 57230919110633. The next prime is 57230919110671. The reversal of 57230919110656 is 65601191903275.

It can be written as a sum of positive squares in 4 ways, for example, as 40730945126400 + 16499973984256 = 6382080^2 + 4062016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57230919110597 and 57230919110606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100892466 + ... + 101458126.

Almost surely, 257230919110656 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 57230919110656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60631853766012).

57230919110656 is an abundant number, since it is smaller than the sum of its proper divisors (64032788421368).

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

57230919110656 is a wasteful number, since it uses less digits than its factorization.

57230919110656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567155 (or 567133 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 55.

The spelling of 57230919110656 in words is "fifty-seven trillion, two hundred thirty billion, nine hundred nineteen million, one hundred ten thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 1453 2048 2176 2906 4096 4352 5812 8704 11624 17408 23248 24701 34816 46496 49402 69632 92992 98804 185984 197608 371968 395216 565661 743936 790432 1131322 1487872 1580864 2262644 2975744 3161728 4525288 5951488 6323456 9050576 9616237 12646912 18101152 19232474 25293824 36202304 38464948 50587648 72404608 76929896 101175296 144809216 153859792 289618432 307719584 579236864 615439168 821905433 1158473728 1230878336 1643810866 2316947456 2461756672 3287621732 4923513344 6575243464 9847026688 13150486928 13972392361 19694053376 26300973856 27944784722 39388106752 52601947712 55889569444 105203895424 111779138888 210407790848 223558277776 420815581696 447116555552 841631163392 894233111104 1683262326784 1788466222208 3366524653568 3576932444416 7153864888832 14307729777664 28615459555328 57230919110656