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18688598112 = 2532311374903
BaseRepresentation
bin10001011001111011…
…010110000001100000
31210020102220011001110
4101121323112001200
5301233240114422
612330241303320
71231056314532
oct213173260140
953212804043
1018688598112
117a20254408
123756934b40
1319baaa9ca2
14c94077852
15745a7760c
hex459ed6060

18688598112 has 96 divisors (see below), whose sum is σ = 51644210688. Its totient is φ = 5905872896.

The previous prime is 18688598087. The next prime is 18688598119. The reversal of 18688598112 is 21189588681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18688598119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212053 + ... + 286955.

It is an arithmetic number, because the mean of its divisors is an integer number (537960528).

Almost surely, 218688598112 is an apocalyptic number.

18688598112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18688598112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25822105344).

18688598112 is an abundant number, since it is smaller than the sum of its proper divisors (32955612576).

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

18688598112 is a wasteful number, since it uses less digits than its factorization.

18688598112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75052 (or 75044 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 57.

The spelling of 18688598112 in words is "eighteen billion, six hundred eighty-eight million, five hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 552 678 736 904 1104 1356 1808 2208 2599 2712 3616 5198 5424 7797 10396 10848 15594 20792 31188 41584 62376 74903 83168 124752 149806 224709 249504 299612 449418 599224 898836 1198448 1722769 1797672 2396896 3445538 3595344 5168307 6891076 7190688 8464039 10336614 13782152 16928078 20673228 25392117 27564304 33856156 41346456 50784234 55128608 67712312 82692912 101568468 135424624 165385824 194672897 203136936 270849248 389345794 406273872 584018691 778691588 812547744 1168037382 1557383176 2336074764 3114766352 4672149528 6229532704 9344299056 18688598112