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82430217959 = 3143223277301
BaseRepresentation
bin100110011000100111…
…0010100111011100111
321212202200222221022112
41030301032110323213
52322304113433314
6101511245351235
75645461202105
oct1146116247347
9255680887275
1082430217959
1131a5a788881
1213b8586851b
137a087709cb
143dbd822c75
152226a1343e
hex1331394ee7

82430217959 has 16 divisors (see below), whose sum is σ = 87458832384. Its totient is φ = 77566356000.

The previous prime is 82430217941. The next prime is 82430217997. The reversal of 82430217959 is 95971203428.

It is a cyclic number.

It is not a de Polignac number, because 82430217959 - 228 = 82161782503 is a prime.

It is a super-2 number, since 2×824302179592 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82430217659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158609 + ... + 435909.

It is an arithmetic number, because the mean of its divisors is an integer number (5466177024).

Almost surely, 282430217959 is an apocalyptic number.

82430217959 is a deficient number, since it is larger than the sum of its proper divisors (5028614425).

82430217959 is a wasteful number, since it uses less digits than its factorization.

82430217959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277598.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 82430217959 in words is "eighty-two billion, four hundred thirty million, two hundred seventeen thousand, nine hundred fifty-nine".

Divisors: 1 31 43 223 1333 6913 9589 277301 297259 8596331 11923943 61838123 369642233 1916981813 2659039289 82430217959