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85621412682 = 23213245676163
BaseRepresentation
bin100111110111101101…
…1110001001101001010
322012000002210102111200
41033233123301031022
52400323040201212
6103200044005030
76120530666601
oct1175733611512
9265002712450
1085621412682
1133348067693
1214716530776
1380c6948700
144203598a38
152361c726dc
hex13ef6f134a

85621412682 has 72 divisors (see below), whose sum is σ = 200957593824. Its totient is φ = 26335007712.

The previous prime is 85621412677. The next prime is 85621412731. The reversal of 85621412682 is 28621412658.

85621412682 is a `hidden beast` number, since 8 + 5 + 621 + 4 + 12 + 6 + 8 + 2 = 666.

It is a super-2 number, since 2×856214126822 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13889733 + ... + 13895895.

It is an arithmetic number, because the mean of its divisors is an integer number (2791077692).

Almost surely, 285621412682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85621412682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100478796912).

85621412682 is an abundant number, since it is smaller than the sum of its proper divisors (115336181142).

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

85621412682 is a wasteful number, since it uses less digits than its factorization.

85621412682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764 (or 10748 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 85621412682 in words is "eighty-five billion, six hundred twenty-one million, four hundred twelve thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 4567 6163 9134 12326 13701 18489 27402 36978 41103 55467 59371 80119 82206 110934 118742 160238 178113 240357 356226 480714 534339 721071 771823 1041547 1068678 1442142 1543646 2083094 2315469 3124641 4630938 6249282 6946407 9373923 13892814 18747846 28146421 56292842 84439263 168878526 253317789 365903473 506635578 731806946 1097710419 2195420838 3293131257 4756745149 6586262514 9513490298 14270235447 28540470894 42810706341 85621412682