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82665647002180 = 225111812518270849
BaseRepresentation
bin10010110010111100011000…
…100001100101001001000100
3101211200202111001222011112101
4102302330120201211021010
541313343221113032210
6451452023551001444
723261252536565344
oct2262743041451104
9354622431864471
1082665647002180
1124381338709930
1293311a5b09284
13371844c6b4178
14165b07813cd24
159854cab42a3a
hex4b2f18865244

82665647002180 has 96 divisors (see below), whose sum is σ = 191184469257600. Its totient is φ = 29775052800000.

The previous prime is 82665647002163. The next prime is 82665647002181. The reversal of 82665647002180 is 8120074656628.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (82665647002181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5859396 + ... + 14130244.

It is an arithmetic number, because the mean of its divisors is an integer number (1991504888100).

Almost surely, 282665647002180 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 82665647002180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95592234628800).

82665647002180 is an abundant number, since it is smaller than the sum of its proper divisors (108518822255420).

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

82665647002180 is a wasteful number, since it uses less digits than its factorization.

82665647002180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271301 (or 8271299 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 82665647002180 in words is "eighty-two trillion, six hundred sixty-five billion, six hundred forty-seven million, two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 251 362 502 724 905 1004 1255 1810 1991 2510 2761 3620 3982 5020 5522 7964 9955 11044 13805 19910 27610 39820 45431 55220 90862 181724 227155 454310 499741 908620 999482 1998964 2498705 4997410 8270849 9994820 16541698 33083396 41354245 82708490 90979339 165416980 181958678 363917356 454896695 909793390 1497023669 1819586780 2075983099 2994047338 4151966198 5988094676 7485118345 8303932396 10379915495 14970236690 16467260359 20759830990 22835814089 29940473380 32934520718 41519661980 45671628178 65869041436 82336301795 91343256356 114179070445 164672603590 228358140890 329345207180 375752940919 456716281780 751505881838 1503011763676 1878764704595 3757529409190 4133282350109 7515058818380 8266564700218 16533129400436 20666411750545 41332823501090 82665647002180