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85303430358 = 23435312749121
BaseRepresentation
bin100111101110001111…
…0110000110011010110
322011011221110020202120
41033130132300303112
52344200134232413
6103104324320410
76106620123456
oct1173436606326
9264157406676
1085303430358
11331a4620883
1214647b43106
138075ac29a3
1441b3263d66
152343db0723
hex13dc7b0cd6

85303430358 has 64 divisors (see below), whose sum is σ = 179272507392. Its totient is φ = 27034076160.

The previous prime is 85303430353. The next prime is 85303430363.

It is a happy number.

85303430358 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (85303430353) and next prime (85303430363).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85303430353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712038 + ... + 1761158.

It is an arithmetic number, because the mean of its divisors is an integer number (2801132928).

Almost surely, 285303430358 is an apocalyptic number.

85303430358 is an abundant number, since it is smaller than the sum of its proper divisors (93969077034).

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

85303430358 is a wasteful number, since it uses less digits than its factorization.

85303430358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49349.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 85303430358 in words is "eighty-five billion, three hundred three million, four hundred thirty thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 43 53 86 106 127 129 159 254 258 318 381 762 2279 4558 5461 6731 6837 10922 13462 13674 16383 20193 32766 40386 49121 98242 147363 289433 294726 578866 868299 1736598 2112203 2603413 4224406 5206826 6238367 6336609 7810239 12476734 12673218 15620478 18715101 37430202 111946759 223893518 268249781 330633451 335840277 536499562 661266902 671680554 804749343 991900353 1609498686 1983800706 14217238393 28434476786 42651715179 85303430358