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56530051460340 = 22357350592551177
BaseRepresentation
bin11001101101001111011011…
…01000101110110011110100
321102011012221111000212222020
430312213231220232303310
524402142021133212330
6320121314102433140
714623106242126653
oct1466475550566364
9242135844025866
1056530051460340
111701529534a977
12640ba9ba327b0
1325709b7b42923
14dd60d781d19a
15680722b1c210
hex3369eda2ecf4

56530051460340 has 96 divisors (see below), whose sum is σ = 160484199173760. Its totient is φ = 14865233135616.

The previous prime is 56530051460287. The next prime is 56530051460369. The reversal of 56530051460340 is 4306415003565.

It is a junction number, because it is equal to n+sod(n) for n = 56530051460292 and 56530051460301.

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, 20882832 + ... + 23434008.

It is an arithmetic number, because the mean of its divisors is an integer number (1671710408060).

Almost surely, 256530051460340 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 56530051460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80242099586880).

56530051460340 is an abundant number, since it is smaller than the sum of its proper divisors (103954147713420).

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

56530051460340 is a wasteful number, since it uses less digits than its factorization.

56530051460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556321 (or 2556319 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 56530051460340 in words is "fifty-six trillion, five hundred thirty billion, fifty-one million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 5059 10118 15177 20236 25295 30354 50590 60708 75885 101180 151770 303540 369307 738614 1107921 1477228 1846535 2215842 2551177 3693070 4431684 5102354 5539605 7386140 7653531 10204708 11079210 12755885 15307062 22158420 25511770 30614124 38267655 51023540 76535310 153070620 186235921 372471842 558707763 744943684 931179605 1117415526 1862359210 2234831052 2793538815 3724718420 5587077630 11174155260 12906404443 25812808886 38719213329 51625617772 64532022215 77438426658 129064044430 154876853316 193596066645 258128088860 387192133290 774384266580 942167524339 1884335048678 2826502573017 3768670097356 4710837621695 5653005146034 9421675243390 11306010292068 14132512865085 18843350486780 28265025730170 56530051460340