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16042121536 = 2671716712613
BaseRepresentation
bin11101111000010111…
…10101100101000000
31112102000002012200111
432330023311211000
5230323240342121
611211502201104
71105352532430
oct167413654500
945360065614
1016042121536
1168923a5391
123138583194
13168871360c
14ac27b82c0
1563d5662e1
hex3bc2f5940

16042121536 has 112 divisors (see below), whose sum is σ = 38755051776. Its totient is φ = 6431514624.

The previous prime is 16042121507. The next prime is 16042121597. The reversal of 16042121536 is 63512124061.

It is a happy number.

16042121536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 16042121498 and 16042121507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265566 + ... + 1278178.

It is an arithmetic number, because the mean of its divisors is an integer number (346027248).

Almost surely, 216042121536 is an apocalyptic number.

16042121536 is a gapful number since it is divisible by the number (16) 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 16042121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377525888).

16042121536 is an abundant number, since it is smaller than the sum of its proper divisors (22712930240).

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

16042121536 is a wasteful number, since it uses less digits than its factorization.

16042121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 16042121536 its reverse (63512124061), we get a palindrome (79554245597).

The spelling of 16042121536 in words is "sixteen billion, forty-two million, one hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 167 224 238 272 334 448 476 544 668 952 1088 1169 1336 1904 2338 2672 2839 3808 4676 5344 5678 7616 9352 10688 11356 12613 18704 19873 22712 25226 37408 39746 45424 50452 74816 79492 88291 90848 100904 158984 176582 181696 201808 214421 317968 353164 403616 428842 635936 706328 807232 857684 1271872 1412656 1500947 1715368 2106371 2825312 3001894 3430736 4212742 5650624 6003788 6861472 8425484 12007576 13722944 14744597 16850968 24015152 29489194 33701936 35808307 48030304 58978388 67403872 71616614 96060608 117956776 134807744 143233228 235913552 250658149 286466456 471827104 501316298 572932912 943654208 1002632596 1145865824 2005265192 2291731648 4010530384 8021060768 16042121536