Search a number
-
+
56787146556 = 223723211139303
BaseRepresentation
bin110100111000110001…
…110001011100111100
312102120121000221101020
4310320301301130330
51412300002142211
642030533344140
74050144532020
oct647061613474
9172517027336
1056787146556
11220a0955788
12b009a98050
13547cc3b08a
142a69cc0380
151725666306
hexd38c7173c

56787146556 has 96 divisors (see below), whose sum is σ = 158766440448. Its totient is φ = 15445805760.

The previous prime is 56787146513. The next prime is 56787146617. The reversal of 56787146556 is 65564178765.

It is a happy number.

It is a super-2 number, since 2×567871465562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56787146556.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 338001 + ... + 477303.

It is an arithmetic number, because the mean of its divisors is an integer number (1653817088).

Almost surely, 256787146556 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 56787146556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79383220224).

56787146556 is an abundant number, since it is smaller than the sum of its proper divisors (101979293892).

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

56787146556 is a wasteful number, since it uses less digits than its factorization.

56787146556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139551 (or 139549 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 60.

The spelling of 56787146556 in words is "fifty-six billion, seven hundred eighty-seven million, one hundred forty-six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 211 276 322 422 483 633 644 844 966 1266 1477 1932 2532 2954 4431 4853 5908 8862 9706 14559 17724 19412 29118 33971 58236 67942 101913 135884 139303 203826 278606 407652 417909 557212 835818 975121 1671636 1950242 2925363 3203969 3900484 5850726 6407938 9611907 11701452 12815876 19223814 22427783 29392933 38447628 44855566 58785866 67283349 88178799 89711132 117571732 134566698 176357598 205750531 269133396 352715196 411501062 617251593 676037459 823002124 1234503186 1352074918 2028112377 2469006372 2704149836 4056224754 4732262213 8112449508 9464524426 14196786639 18929048852 28393573278 56787146556