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85958301687 = 3832631312601
BaseRepresentation
bin101000000001110000…
…0111001011111110111
322012212120201011100020
41100003200321133313
52402020311123222
6103253320420223
76132061336356
oct1200340713767
9265776634306
1085958301687
1133500247355
12147ab317673
13814b69100b
14423621199d
15238161b65c
hex14038397f7

85958301687 has 16 divisors (see below), whose sum is σ = 116433047808. Its totient is φ = 56399796800.

The previous prime is 85958301659. The next prime is 85958301719. The reversal of 85958301687 is 78610385958.

It is a cyclic number.

It is not a de Polignac number, because 85958301687 - 210 = 85958300663 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85958301687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85958301647) 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 15 ways as a sum of consecutive naturals, for example, 590814 + ... + 721787.

It is an arithmetic number, because the mean of its divisors is an integer number (7277065488).

Almost surely, 285958301687 is an apocalyptic number.

85958301687 is a deficient number, since it is larger than the sum of its proper divisors (30474746121).

85958301687 is a wasteful number, since it uses less digits than its factorization.

85958301687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312950.

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 85958301687 in words is "eighty-five billion, nine hundred fifty-eight million, three hundred one thousand, six hundred eighty-seven".

Divisors: 1 3 83 249 263 789 21829 65487 1312601 3937803 108945883 326837649 345214063 1035642189 28652767229 85958301687