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85843527024 = 2436769138629
BaseRepresentation
bin100111111110010101…
…1000100010101110000
322012120120202000002210
41033330223010111300
52401301420331044
6103234100412120
76126165640353
oct1177453042560
9265516660083
1085843527024
1133451484462
12147789a7040
138130976608
144224c9629a
1523764e91b9
hex13fcac4570

85843527024 has 80 divisors (see below), whose sum is σ = 225403886720. Its totient is φ = 28145905920.

The previous prime is 85843527013. The next prime is 85843527037. The reversal of 85843527024 is 42072534858.

It is a super-2 number, since 2×858435270242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2202942 + ... + 2241570.

It is an arithmetic number, because the mean of its divisors is an integer number (2817548584).

Almost surely, 285843527024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85843527024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112701943360).

85843527024 is an abundant number, since it is smaller than the sum of its proper divisors (139560359696).

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

85843527024 is a wasteful number, since it uses less digits than its factorization.

85843527024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39398 (or 39392 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 85843527024 in words is "eighty-five billion, eight hundred forty-three million, five hundred twenty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 691 804 1072 1382 1608 2073 2764 3216 4146 5528 8292 11056 16584 33168 38629 46297 77258 92594 115887 138891 154516 185188 231774 277782 309032 370376 463548 555564 618064 740752 927096 1111128 1854192 2222256 2588143 5176286 7764429 10352572 15528858 20705144 26692639 31057716 41410288 53385278 62115432 80077917 106770556 124230864 160155834 213541112 320311668 427082224 640623336 1281246672 1788406813 3576813626 5365220439 7153627252 10730440878 14307254504 21460881756 28614509008 42921763512 85843527024