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813215270832 = 243193132998719
BaseRepresentation
bin10111101010101110110…
…10000100011110110000
32212202001101000001111220
423311113122010132300
5101310431102131312
61421330321305040
7112516142515266
oct13652732043660
92782041001456
10813215270832
11293978902328
12111734195180
135b8bbb21363
142b50752a436
15162485b7c8c
hexbd576847b0

813215270832 has 160 divisors (see below), whose sum is σ = 2283663360000. Its totient is φ = 248416968960.

The previous prime is 813215270809. The next prime is 813215270891. The reversal of 813215270832 is 238072512318.

It is a super-2 number, since 2×8132152708322 (a number of 25 digits) contains 22 as substring.

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, 93264969 + ... + 93273687.

It is an arithmetic number, because the mean of its divisors is an integer number (14272896000).

Almost surely, 2813215270832 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 813215270832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141831680000).

813215270832 is an abundant number, since it is smaller than the sum of its proper divisors (1470448089168).

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

813215270832 is a wasteful number, since it uses less digits than its factorization.

813215270832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12073 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 813215270832 in words is "eight hundred thirteen billion, two hundred fifteen million, two hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3299 3534 4712 6598 7068 8719 9424 9897 13196 14136 17438 19794 26157 26392 28272 34876 39588 52314 52784 62681 69752 79176 102269 104628 125362 139504 158352 165661 188043 204538 209256 250724 270289 306807 331322 376086 409076 418512 496983 501448 540578 613614 662644 752172 810867 818152 993966 1002896 1081156 1227228 1325288 1504344 1621734 1636304 1943111 1987932 2162312 2454456 2650576 3008688 3243468 3886222 3975864 4324624 4908912 5135491 5829333 6486936 7772444 7951728 10270982 11658666 12973872 15406473 15544888 20541964 23317332 28763981 30812946 31089776 41083928 46634664 57527962 61625892 82167856 86291943 93269328 115055924 123251784 172583886 230111848 246503568 345167772 460223696 546515639 690335544 891683411 1093031278 1380671088 1639546917 1783366822 2186062556 2675050233 3279093834 3566733644 4372125112 5350100466 6558187668 7133467288 8744250224 10700200932 13116375336 14266934576 16941984809 21400401864 26232750672 33883969618 42800803728 50825954427 67767939236 101651908854 135535878472 203303817708 271071756944 406607635416 813215270832