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82430364096 = 263497163927
BaseRepresentation
bin100110011000100111…
…0111000100111000000
321212202201021100210000
41030301032320213000
52322304133122341
6101511252440000
75645462351133
oct1146116704700
9255681240700
1082430364096
1131a5a878653
1213b85919000
137a087c2392
143dbd86021a
152226a418b6
hex13313b89c0

82430364096 has 140 divisors (see below), whose sum is σ = 246869994448. Its totient is φ = 27193356288.

The previous prime is 82430364083. The next prime is 82430364097. The reversal of 82430364096 is 69046303428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82430364097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 420885 + ... + 584811.

Almost surely, 282430364096 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 82430364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123434997224).

82430364096 is an abundant number, since it is smaller than the sum of its proper divisors (164439630352).

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

82430364096 is a wasteful number, since it uses less digits than its factorization.

82430364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164048 (or 164029 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 82430364096 in words is "eighty-two billion, four hundred thirty million, three hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 576 582 648 776 864 873 1164 1296 1552 1728 1746 2328 2592 2619 3104 3492 4656 5184 5238 6208 6984 7857 9312 10476 13968 15714 18624 20952 27936 31428 41904 55872 62856 83808 125712 163927 167616 251424 327854 491781 502848 655708 983562 1311416 1475343 1967124 2622832 2950686 3934248 4426029 5245664 5901372 7868496 8852058 10491328 11802744 13278087 15736992 15900919 17704116 23605488 26556174 31473984 31801838 35408232 47210976 47702757 53112348 63603676 70816464 94421952 95405514 106224696 127207352 141632928 143108271 190811028 212449392 254414704 283265856 286216542 381622056 424898784 429324813 508829408 572433084 763244112 849797568 858649626 1017658816 1144866168 1287974439 1526488224 1717299252 2289732336 2575948878 3052976448 3434598504 4579464672 5151897756 6869197008 9158929344 10303795512 13738394016 20607591024 27476788032 41215182048 82430364096