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813325312710 = 233531601161683
BaseRepresentation
bin10111101010111011111…
…01110110001011000110
32212202100001001202121000
423311131331312023012
5101311142240001320
61421345252034130
7112521650043141
oct13653575661306
92782301052530
10813325312710
11293a24a32429
12111765002946
135b90886c7b1
142b517db3058
15162530a2c90
hexbd5df762c6

813325312710 has 128 divisors (see below), whose sum is σ = 2242570014720. Its totient is φ = 209539872000.

The previous prime is 813325312693. The next prime is 813325312747. The reversal of 813325312710 is 17213523318.

It is a happy number.

813325312710 is a `hidden beast` number, since 8 + 1 + 3 + 325 + 312 + 7 + 10 = 666.

It is a super-2 number, since 2×8133253127102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4949529 + ... + 5111211.

It is an arithmetic number, because the mean of its divisors is an integer number (17520078240).

Almost surely, 2813325312710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813325312710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121285007360).

813325312710 is an abundant number, since it is smaller than the sum of its proper divisors (1429244702010).

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

813325312710 is a wasteful number, since it uses less digits than its factorization.

813325312710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162331 (or 162325 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 813 and 325312710, that added together give a palindrome (325313523).

The spelling of 813325312710 in words is "eight hundred thirteen billion, three hundred twenty-five million, three hundred twelve thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 601 837 930 1202 1395 1674 1803 2790 3005 3606 4185 5409 6010 8370 9015 10818 16227 18030 18631 27045 32454 37262 54090 55893 81135 93155 111786 161683 162270 167679 186310 279465 323366 335358 485049 503037 558930 808415 838395 970098 1006074 1455147 1616830 1676790 2425245 2515185 2910294 4365441 4850490 5012173 5030370 7275735 8730882 10024346 14551470 15036519 21827205 25060865 30073038 43654410 45109557 50121730 75182595 90219114 97171483 135328671 150365190 194342966 225547785 270657342 291514449 451095570 485857415 583028898 676643355 874543347 971714830 1353286710 1457572245 1749086694 2623630041 2915144490 3012315973 4372716735 5247260082 6024631946 8745433470 9036947919 13118150205 15061579865 18073895838 26236300410 27110843757 30123159730 45184739595 54221687514 81332531271 90369479190 135554218785 162665062542 271108437570 406662656355 813325312710