Search a number
-
+
5311055331040 = 255227148198737
BaseRepresentation
bin100110101001001001110…
…0100001111111011100000
3200210201202120121011022111
41031102103210033323200
51144004020131043130
615143510511445104
71055465621310364
oct115222344177340
920721676534274
105311055331040
111768451303688
12719399826794
132c6aa4421274
141450b0c7d2a4
159324574e02a
hex4d49390fee0

5311055331040 has 96 divisors (see below), whose sum is σ = 12611280243744. Its totient is φ = 2113613905920.

The previous prime is 5311055330957. The next prime is 5311055331077. The reversal of 5311055331040 is 401335501135.

It is a junction number, because it is equal to n+sod(n) for n = 5311055330993 and 5311055331011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53740552 + ... + 53839288.

It is an arithmetic number, because the mean of its divisors is an integer number (131367502539).

Almost surely, 25311055331040 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 5311055331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305640121872).

5311055331040 is an abundant number, since it is smaller than the sum of its proper divisors (7300224912704).

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

5311055331040 is a wasteful number, since it uses less digits than its factorization.

5311055331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100460 (or 100452 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 5311055331040 in words is "five trillion, three hundred eleven billion, fifty-five million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 908 1135 1481 1816 2270 2962 3632 4540 5924 7264 7405 9080 11848 14810 18160 23696 29620 36320 47392 59240 98737 118480 197474 236960 336187 394948 493685 672374 789896 987370 1344748 1579792 1680935 1974740 2689496 3159584 3361870 3949480 5378992 6723740 7898960 10757984 13447480 15797920 22413299 26894960 44826598 53789920 89653196 112066495 146229497 179306392 224132990 292458994 358612784 448265980 584917988 717225568 731147485 896531960 1169835976 1462294970 1793063920 2339671952 2924589940 3586127840 4679343904 5849179880 11698359760 23396719520 33194095819 66388191638 132776383276 165970479095 265552766552 331940958190 531105533104 663881916380 1062211066208 1327763832760 2655527665520 5311055331040