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82385805975 = 35211199501817
BaseRepresentation
bin100110010111010010…
…0111010001010010111
321212122121102120112020
41030232210322022113
52322211231242400
6101503021424223
75644411540104
oct1145644721227
9255577376466
1082385805975
1131a37704460
1213b72a0b073
1379cc4c0c25
143db7981aab
152222b8e2a0
hex132e93a297

82385805975 has 48 divisors (see below), whose sum is σ = 149341036800. Its totient is φ = 39743827200.

The previous prime is 82385805959. The next prime is 82385806001. The reversal of 82385805975 is 57950858328.

It is not a de Polignac number, because 82385805975 - 24 = 82385805959 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 86734 + ... + 415083.

It is an arithmetic number, because the mean of its divisors is an integer number (3111271600).

Almost surely, 282385805975 is an apocalyptic number.

82385805975 is a deficient number, since it is larger than the sum of its proper divisors (66955230825).

82385805975 is a wasteful number, since it uses less digits than its factorization.

82385805975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502040 (or 502035 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 82385805975 in words is "eighty-two billion, three hundred eighty-five million, eight hundred five thousand, nine hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 199 275 597 825 995 2189 2985 4975 6567 10945 14925 32835 54725 164175 501817 1505451 2509085 5519987 7527255 12545425 16559961 27599935 37636275 82799805 99861583 137999675 299584749 413999025 499307915 1098477413 1497923745 2496539575 3295432239 5492387065 7489618725 16477161195 27461935325 82385805975