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815215730652 = 2232431607327707
BaseRepresentation
bin10111101110011101010…
…01001101111111011100
32212221012210012221111100
423313032221031333130
5101324030211340102
61422301022153100
7112616543243541
oct13671651157734
92787183187440
10815215730652
11294805033404
12111bb2122790
135bb4a3c9aab
142b6570a4bc8
151631401ba1c
hexbdcea4dfdc

815215730652 has 72 divisors (see below), whose sum is σ = 2109925673856. Its totient is φ = 265253101344.

The previous prime is 815215730617. The next prime is 815215730689. The reversal of 815215730652 is 256037512518.

815215730652 is a `hidden beast` number, since 8 + 1 + 5 + 21 + 573 + 0 + 6 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 815215730598 and 815215730607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2323783 + ... + 2651489.

It is an arithmetic number, because the mean of its divisors is an integer number (29304523248).

Almost surely, 2815215730652 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 815215730652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054962836928).

815215730652 is an abundant number, since it is smaller than the sum of its proper divisors (1294709943204).

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

815215730652 is a wasteful number, since it uses less digits than its factorization.

815215730652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329367 (or 329362 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 815215730652 in words is "eight hundred fifteen billion, two hundred fifteen million, seven hundred thirty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1607 3214 4821 6428 9642 14463 19284 28926 57852 69101 138202 207303 276404 327707 414606 621909 655414 829212 983121 1243818 1310828 1966242 2487636 2949363 3932484 5898726 11797452 14091401 28182802 42274203 56365604 84548406 126822609 169096812 253645218 507290436 526625149 1053250298 1579875447 2106500596 3159750894 4739626341 6319501788 9479252682 18958505364 22644881407 45289762814 67934644221 90579525628 135869288442 203803932663 271738576884 407607865326 815215730652