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9991993842 = 2333114294177
BaseRepresentation
bin10010100111001000…
…11011100111110010
3221210100200212202000
421103210123213302
5130430422300332
64331255034430
7502416355245
oct112344334762
927710625660
109991993842
114268246956
121b2a36ba16
13c331462bc
146ab07b25c
153d732ab7c
hex25391b9f2

9991993842 has 64 divisors (see below), whose sum is σ = 22942233600. Its totient is φ = 3220197120.

The previous prime is 9991993841. The next prime is 9991993849. The reversal of 9991993842 is 2483991999.

It is a self number, because there is not a number n which added to its sum of digits gives 9991993842.

It is not an unprimeable number, because it can be changed into a prime (9991993841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2390058 + ... + 2394234.

It is an arithmetic number, because the mean of its divisors is an integer number (358472400).

Almost surely, 29991993842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9991993842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11471116800).

9991993842 is an abundant number, since it is smaller than the sum of its proper divisors (12950239758).

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

9991993842 is a wasteful number, since it uses less digits than its factorization.

9991993842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5642 counting only the distinct ones).

The product of its digits is 11337408, while the sum is 63.

The square root of 9991993842 is about 99959.9611944703. The cubic root of 9991993842 is about 2153.8595783724.

The spelling of 9991993842 in words is "nine billion, nine hundred ninety-one million, nine hundred ninety-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1429 1674 2858 4177 4287 8354 8574 12531 12861 25062 25722 37593 38583 44299 75186 77166 88598 112779 129487 132897 225558 258974 265794 388461 398691 776922 797382 1165383 1196073 2330766 2392146 3496149 5968933 6992298 11937866 17906799 35813598 53720397 107440794 161161191 185036923 322322382 370073846 555110769 1110221538 1665332307 3330664614 4995996921 9991993842