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726230745064 = 231121753832673
BaseRepresentation
bin10101001000101101011…
…10011011111111101000
32120102112021021022101101
422210112232123333220
543344310032320224
61313343101131144
7103316450323636
oct12442656337750
92512467238341
10726230745064
1125aaa1360700
12b88b9259ab4
1353638970a76
1427214d02356
1513d56d3a044
hexa916b9bfe8

726230745064 has 96 divisors (see below), whose sum is σ = 1614671460360. Its totient is φ = 304824565760.

The previous prime is 726230745059. The next prime is 726230745091. The reversal of 726230745064 is 460547032627.

It can be written as a sum of positive squares in 4 ways, for example, as 716477602500 + 9753142564 = 846450^2 + 98758^2 .

It is a super-2 number, since 2×7262307450642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455832 + ... + 1288504.

Almost surely, 2726230745064 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 726230745064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807335730180).

726230745064 is an abundant number, since it is smaller than the sum of its proper divisors (888440715296).

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

726230745064 is a wasteful number, since it uses less digits than its factorization.

726230745064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832771 (or 832756 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 46.

The spelling of 726230745064 in words is "seven hundred twenty-six billion, two hundred thirty million, seven hundred forty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 53 68 88 106 121 136 187 212 242 374 424 484 583 748 901 968 1166 1496 1802 2057 2332 3604 4114 4664 6413 7208 8228 9911 12826 16456 19822 25652 39644 51304 79288 109021 218042 436084 832673 872168 1665346 3330692 6661384 9159403 14155441 18318806 28310882 36637612 44131669 56621764 73275224 88263338 100753433 113243528 155709851 176526676 201506866 311419702 353053352 403013732 485448359 622839404 750238373 806027464 970896718 1245678808 1500476746 1712808361 1941793436 3000953492 3425616722 3883586872 5339931949 6001906984 6851233444 8252622103 10679863898 13702466888 16505244206 21359727796 33010488412 42719455592 66020976824 90778843133 181557686266 363115372532 726230745064