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82813299210 = 236544325643
BaseRepresentation
bin100110100100000001…
…1101010101000001010
321220202101211111000000
41031020003222220022
52324100201033320
6102013252223430
75661122300055
oct1151003525012
9256671744000
1082813299210
1132136a48454
121407200ab76
137a69c3a4c5
144018661a9c
15224a483c90
hex13480eaa0a

82813299210 has 112 divisors (see below), whose sum is σ = 224006904864. Its totient is φ = 22032837216.

The previous prime is 82813299161. The next prime is 82813299211. The reversal of 82813299210 is 1299231828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82813299211) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3216649 + ... + 3242291.

Almost surely, 282813299210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82813299210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112003452432).

82813299210 is an abundant number, since it is smaller than the sum of its proper divisors (141193605654).

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

82813299210 is a wasteful number, since it uses less digits than its factorization.

82813299210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26111 (or 26096 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 82813299210 in words is "eighty-two billion, eight hundred thirteen million, two hundred ninety-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 443 486 729 810 886 1215 1329 1458 2215 2430 2658 3645 3987 4430 6645 7290 7974 11961 13290 19935 23922 25643 35883 39870 51286 59805 71766 76929 107649 119610 128215 153858 179415 215298 230787 256430 322947 358830 384645 461574 538245 645894 692361 769290 1076490 1153935 1384722 1614735 2077083 2307870 3229470 3461805 4154166 6231249 6923610 10385415 11359849 12462498 18693747 20770830 22719698 31156245 34079547 37387494 56799245 62312490 68159094 93468735 102238641 113598490 170397735 186937470 204477282 306715923 340795470 511193205 613431846 920147769 1022386410 1533579615 1840295538 2760443307 3067159230 4600738845 5520886614 8281329921 9201477690 13802216535 16562659842 27604433070 41406649605 82813299210