Search a number
-
+
56074745344 = 291749113121
BaseRepresentation
bin110100001110010100…
…001011011000000000
312100201221112012122011
4310032110023120000
51404320113322334
641432124222304
74023404320402
oct641624133000
9170657465564
1056074745344
1121865806152
12aa4b39a994
1353984791b7
1429dd438b72
1516d2d44564
hexd0e50b600

56074745344 has 80 divisors (see below), whose sum is σ = 118881225936. Its totient is φ = 26332364800.

The previous prime is 56074745341. The next prime is 56074745351. The reversal of 56074745344 is 44354747065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56074745341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4267104 + ... + 4280224.

Almost surely, 256074745344 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 56074745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59440612968).

56074745344 is an abundant number, since it is smaller than the sum of its proper divisors (62806480592).

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

56074745344 is a wasteful number, since it uses less digits than its factorization.

56074745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13647 (or 13631 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 49.

The spelling of 56074745344 in words is "fifty-six billion, seventy-four million, seven hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 491 512 544 982 1088 1964 2176 3928 4352 7856 8347 8704 13121 15712 16694 26242 31424 33388 52484 62848 66776 104968 125696 133552 209936 223057 251392 267104 419872 446114 534208 839744 892228 1068416 1679488 1784456 2136832 3358976 3568912 4273664 6442411 6717952 7137824 12884822 14275648 25769644 28551296 51539288 57102592 103078576 109520987 114205184 206157152 219041974 412314304 438083948 824628608 876167896 1649257216 1752335792 3298514432 3504671584 7009343168 14018686336 28037372672 56074745344