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85916284984 = 231931118715361
BaseRepresentation
bin101000000000100000…
…0100111100000111000
322012202122122111021001
41100001000213200320
52401424032104414
6103245220054344
76131041241605
oct1200100474070
9265678574231
1085916284984
1133489559602
12147992343b4
138142a6c56a
1442307d56ac
15237cabc074
hex1401027838

85916284984 has 64 divisors (see below), whose sum is σ = 175200537600. Its totient is φ = 39348633600.

The previous prime is 85916284963. The next prime is 85916285047. The reversal of 85916284984 is 48948261958.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5585464 + ... + 5600824.

It is an arithmetic number, because the mean of its divisors is an integer number (2737508400).

Almost surely, 285916284984 is an apocalyptic number.

It is an amenable number.

85916284984 is an abundant number, since it is smaller than the sum of its proper divisors (89284252616).

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

85916284984 is a wasteful number, since it uses less digits than its factorization.

85916284984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16604 (or 16600 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 64.

The spelling of 85916284984 in words is "eighty-five billion, nine hundred sixteen million, two hundred eighty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 589 1178 1187 2356 2374 4712 4748 9496 15361 22553 30722 36797 45106 61444 73594 90212 122888 147188 180424 291859 294376 476191 583718 699143 952382 1167436 1398286 1904764 2334872 2796572 3809528 5593144 9047629 18095258 18233507 36190516 36467014 72381032 72934028 145868056 346436633 565238717 692873266 1130477434 1385746532 2260954868 2771493064 4521909736 10739535623 21479071246 42958142492 85916284984