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82716870810 = 23572917237883
BaseRepresentation
bin100110100001001001…
…1110100100010011010
321220111200101102002210
41031002103310202122
52323401004331220
6101555525335550
75655541541520
oct1150223644232
9256450342083
1082716870810
1132097576362
12140458675b6
137a52c77592
144009920310
152241c876e0
hex13424f489a

82716870810 has 128 divisors (see below), whose sum is σ = 234870036480. Its totient is φ = 18241848576.

The previous prime is 82716870793. The next prime is 82716870911. The reversal of 82716870810 is 1807861728.

It is a super-2 number, since 2×827168708102 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82716870810.

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, 10489129 + ... + 10497011.

It is an arithmetic number, because the mean of its divisors is an integer number (1834922160).

Almost surely, 282716870810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82716870810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117435018240).

82716870810 is an abundant number, since it is smaller than the sum of its proper divisors (152153165670).

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

82716870810 is a wasteful number, since it uses less digits than its factorization.

82716870810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652.

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 82716870810 in words is "eighty-two billion, seven hundred sixteen million, eight hundred seventy thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 1723 2030 3045 3446 5169 6090 7883 8615 10338 12061 15766 17230 23649 24122 25845 36183 39415 47298 49967 51690 55181 60305 72366 78830 99934 110362 118245 120610 149901 165543 180915 228607 236490 249835 275905 299802 331086 349769 361830 457214 499670 551810 685821 699538 749505 827715 1049307 1143035 1371642 1499010 1600249 1655430 1748845 2098614 2286070 3200498 3429105 3497690 4800747 5246535 6858210 8001245 9601494 10493070 13582409 16002490 24003735 27164818 40747227 48007470 67912045 81494454 95076863 135824090 190153726 203736135 285230589 393889861 407472270 475384315 570461178 787779722 950768630 1181669583 1426152945 1969449305 2363339166 2757229027 2852305890 3938898610 5514458054 5908347915 8271687081 11816695830 13786145135 16543374162 27572290270 41358435405 82716870810