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82236803010 = 23519798572131
BaseRepresentation
bin100110010010110110…
…0100000011111000010
321212021020001102212220
41030211230200133002
52321410110144020
6101440140031510
75640622202115
oct1144554403702
9255236042786
1082236803010
113197059330a
1213b30b32596
1379a7680aab
143da1c7657c
152214a5a240
hex1325b207c2

82236803010 has 128 divisors (see below), whose sum is σ = 210730291200. Its totient is φ = 20479080960.

The previous prime is 82236802997. The next prime is 82236803059. The reversal of 82236803010 is 1030863228.

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, 38589645 + ... + 38591775.

It is an arithmetic number, because the mean of its divisors is an integer number (1646330400).

Almost surely, 282236803010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82236803010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105365145600).

82236803010 is an abundant number, since it is smaller than the sum of its proper divisors (128493488190).

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

82236803010 is a wasteful number, since it uses less digits than its factorization.

82236803010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 82236803010 in words is "eighty-two billion, two hundred thirty-six million, eight hundred three thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 79 95 114 158 190 237 285 395 474 570 790 857 1185 1501 1714 2131 2370 2571 3002 4262 4285 4503 5142 6393 7505 8570 9006 10655 12786 12855 15010 16283 21310 22515 25710 31965 32566 40489 45030 48849 63930 67703 80978 81415 97698 121467 135406 162830 168349 202445 203109 242934 244245 336698 338515 404890 406218 488490 505047 607335 677030 841745 1010094 1015545 1214670 1286357 1683490 1826267 2031090 2525235 2572714 3198631 3652534 3859071 5050470 5478801 6397262 6431785 7718142 9131335 9595893 10957602 12863570 15993155 18262670 19191786 19295355 27394005 31986310 34699073 38590710 47979465 54788010 69398146 95958930 104097219 144275093 173495365 208194438 288550186 346990730 432825279 520486095 721375465 865650558 1040972190 1442750930 2164126395 2741226767 4328252790 5482453534 8223680301 13706133835 16447360602 27412267670 41118401505 82236803010