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813530660000 = 2554137296909
BaseRepresentation
bin10111101011010100011…
…01001011110010100000
32212202212100110111010012
423311222031023302200
5101312102322110000
61421421505224052
7112530022341242
oct13655215136240
92782770414105
10813530660000
1129401a937933
12111801932028
135b93c279976
142b537388092
1516266116735
hexbd6a34bca0

813530660000 has 120 divisors (see below), whose sum is σ = 2016023056740. Its totient is φ = 323035904000.

The previous prime is 813530659967. The next prime is 813530660009. The reversal of 813530660000 is 66035318.

813530660000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 26058999184 + 787471660816 = 161428^2 + 887396^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (813530660009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2591546 + ... + 2888454.

Almost surely, 2813530660000 is an apocalyptic number.

813530660000 is a gapful number since it is divisible by the number (80) 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 813530660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008011528370).

813530660000 is an abundant number, since it is smaller than the sum of its proper divisors (1202492396740).

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

813530660000 is a wasteful number, since it uses less digits than its factorization.

813530660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297076 (or 297053 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 813530660000 its reverse (66035318), we get a palindrome (813596695318).

The spelling of 813530660000 in words is "eight hundred thirteen billion, five hundred thirty million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 137 160 200 250 274 400 500 548 625 685 800 1000 1096 1250 1370 2000 2192 2500 2740 3425 4000 4384 5000 5480 6850 10000 10960 13700 17125 20000 21920 27400 34250 54800 68500 85625 109600 137000 171250 274000 296909 342500 548000 593818 685000 1187636 1370000 1484545 2375272 2740000 2969090 4750544 5938180 7422725 9501088 11876360 14845450 23752720 29690900 37113625 40676533 47505440 59381800 74227250 81353066 118763600 148454500 162706132 185568125 203382665 237527200 296909000 325412264 371136250 406765330 593818000 650824528 742272500 813530660 1016913325 1187636000 1301649056 1484545000 1627061320 2033826650 2969090000 3254122640 4067653300 5084566625 5938180000 6508245280 8135306600 10169133250 16270613200 20338266500 25422833125 32541226400 40676533000 50845666250 81353066000 101691332500 162706132000 203382665000 406765330000 813530660000