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56166677700 = 223527244110957
BaseRepresentation
bin110100010011110010…
…110111110011000100
312100222100111212010020
4310103302313303010
51410012132141300
641445210455140
74025601611640
oct642362676304
9170870455106
1056166677700
1121902697301
12aa761344b0
1353b1526843
142a0b729c20
1516dae538a0
hexd13cb7cc4

56166677700 has 144 divisors (see below), whose sum is σ = 185817523584. Its totient is φ = 12831667200.

The previous prime is 56166677663. The next prime is 56166677711. The reversal of 56166677700 is 777666165.

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 47 ways as a sum of consecutive naturals, for example, 5120622 + ... + 5131578.

Almost surely, 256166677700 is an apocalyptic number.

56166677700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56166677700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92908761792).

56166677700 is an abundant number, since it is smaller than the sum of its proper divisors (129650845884).

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

56166677700 is a wasteful number, since it uses less digits than its factorization.

56166677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13422 (or 13415 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

It can be divided in two parts, 56166 and 677700, that added together give a triangular number (733866 = T1211).

The spelling of 56166677700 in words is "fifty-six billion, one hundred sixty-six million, six hundred seventy-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2441 4882 7323 9764 10957 12205 14646 17087 21914 24410 29292 32871 34174 36615 43828 48820 51261 54785 61025 65742 68348 73230 76699 85435 102522 109570 122050 131484 146460 153398 164355 170870 183075 205044 219140 230097 244100 256305 273925 306796 328710 341740 366150 383495 427175 460194 512610 547850 657420 732300 766990 821775 854350 920388 1025220 1095700 1150485 1281525 1533980 1643550 1708700 1917475 2300970 2563050 3287100 3834950 4601940 5126100 5752425 7669900 11504850 23009700 26746037 53492074 80238111 106984148 133730185 160476222 187222259 267460370 320952444 374444518 401190555 534920740 561666777 668650925 748889036 802381110 936111295 1123333554 1337301850 1604762220 1872222590 2005952775 2246667108 2674603700 2808333885 3744445180 4011905550 4680556475 5616667770 8023811100 9361112950 11233335540 14041669425 18722225900 28083338850 56166677700