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9852344289816 = 2337312837666821
BaseRepresentation
bin1000111101011110110101…
…1110110100101000011000
31021212212121210222000000120
42033113231132310220120
52242410100114233231
632542034322433240
72034544163460240
oct217275536645030
937785553860016
109852344289816
1131593a0557576
12113154a202820
135660c248a502
14260bdac58b20
15121437082d96
hex8f5ed7b4a18

9852344289816 has 128 divisors (see below), whose sum is σ = 29067891240960. Its totient is φ = 2723186188800.

The previous prime is 9852344289709. The next prime is 9852344289877. The reversal of 9852344289816 is 6189824432589.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14441686 + ... + 15108506.

It is an arithmetic number, because the mean of its divisors is an integer number (227092900320).

Almost surely, 29852344289816 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 9852344289816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14533945620480).

9852344289816 is an abundant number, since it is smaller than the sum of its proper divisors (19215546951144).

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

9852344289816 is a wasteful number, since it uses less digits than its factorization.

9852344289816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669705 (or 669701 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 69.

The spelling of 9852344289816 in words is "nine trillion, eight hundred fifty-two billion, three hundred forty-four million, two hundred eighty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 2837 5208 5674 8511 11348 17022 19859 22696 34044 39718 59577 68088 79436 87947 119154 158872 175894 238308 263841 351788 476616 527682 615629 666821 703576 1055364 1231258 1333642 1846887 2000463 2110728 2462516 2667284 3693774 4000926 4667747 4925032 5334568 7387548 8001852 9335494 14003241 14775096 16003704 18670988 20671451 28006482 37341976 41342902 56012964 62014353 82685804 112025928 124028706 144700157 165371608 248057412 289400314 434100471 496114824 578800628 868200942 1157601256 1736401884 1891771177 3472803768 3783542354 5675313531 7567084708 11350627062 13242398239 15134169416 22701254124 26484796478 39727194717 45402508248 52969592956 58644906487 79454389434 105939185912 117289812974 158908778868 175934719461 234579625948 317817557736 351869438922 410514345409 469159251896 703738877844 821028690818 1231543036227 1407477755688 1642057381636 2463086072454 3284114763272 4926172144908 9852344289816