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51676665660 = 22335383249863
BaseRepresentation
bin110000001000001010…
…110101011100111100
311221101102202121112000
4300020022311130330
51321313211300120
635423454142300
73506411260554
oct601012653474
9157342677460
1051676665660
111aa09148854
12a0224b1990
134b47239299
1427032a0164
151526b89990
hexc082b573c

51676665660 has 96 divisors (see below), whose sum is σ = 161192263680. Its totient is φ = 13744408896.

The previous prime is 51676665641. The next prime is 51676665683. The reversal of 51676665660 is 6656667615.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 51676665597 and 51676665606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81889 + ... + 331751.

It is an arithmetic number, because the mean of its divisors is an integer number (1679086080).

Almost surely, 251676665660 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 51676665660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80596131840).

51676665660 is an abundant number, since it is smaller than the sum of its proper divisors (109515598020).

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

51676665660 is a wasteful number, since it uses less digits than its factorization.

51676665660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250264 (or 250256 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 51676665660 in words is "fifty-one billion, six hundred seventy-six million, six hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 383 540 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 10341 11490 13788 17235 20682 22980 34470 41364 51705 68940 103410 206820 249863 499726 749589 999452 1249315 1499178 2248767 2498630 2998356 3747945 4497534 4997260 6746301 7495890 8995068 11243835 13492602 14991780 22487670 26985204 33731505 44975340 67463010 95697529 134926020 191395058 287092587 382790116 478487645 574185174 861277761 956975290 1148370348 1435462935 1722555522 1913950580 2583833283 2870925870 3445111044 4306388805 5167666566 5741851740 8612777610 10335333132 12919166415 17225555220 25838332830 51676665660