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86294820402 = 232717283142357
BaseRepresentation
bin101000001011110010…
…0100111011000110010
322020202000221002020100
41100113210213120302
52403212433223102
6103350541253230
76143315604450
oct1202744473062
9266660832210
1086294820402
11336631a389a
1214883b64216
1381a3306c0b
144268bad9d0
1523a0e40a1c
hex1417927632

86294820402 has 96 divisors (see below), whose sum is σ = 227053037952. Its totient is φ = 23123169792.

The previous prime is 86294820389. The next prime is 86294820413. The reversal of 86294820402 is 20402849268.

86294820402 is a `hidden beast` number, since 86 + 2 + 94 + 82 + 0 + 402 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535008 + ... + 677364.

It is an arithmetic number, because the mean of its divisors is an integer number (2365135812).

Almost surely, 286294820402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86294820402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113526518976).

86294820402 is an abundant number, since it is smaller than the sum of its proper divisors (140758217550).

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

86294820402 is a wasteful number, since it uses less digits than its factorization.

86294820402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142672 (or 142669 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 86294820402 in words is "eighty-six billion, two hundred ninety-four million, eight hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 283 306 357 566 714 849 1071 1698 1981 2142 2547 3962 4811 5094 5943 9622 11886 14433 17829 28866 33677 35658 43299 67354 86598 101031 142357 202062 284714 303093 427071 606186 854142 996499 1281213 1992998 2420069 2562426 2989497 4840138 5978994 7260207 8968491 14520414 16940483 17936982 21780621 33880966 40287031 43561242 50821449 80574062 101642898 120861093 152464347 241722186 282009217 304928694 362583279 564018434 684879527 725166558 846027651 1369759054 1692055302 2054638581 2538082953 4109277162 4794156689 5076165906 6163915743 9588313378 12327831486 14382470067 28764940134 43147410201 86294820402