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16431126540 = 22353183106433
BaseRepresentation
bin11110100110101111…
…10001100000001100
31120102010001201020020
433103113301200030
5232122332022130
611314240022140
71121115162003
oct172327614014
946363051206
1016431126540
116a71a40624
123226901950
13171b1a54aa
14b1c319c3a
156627a6e10
hex3d35f180c

16431126540 has 96 divisors (see below), whose sum is σ = 48063891456. Its totient is φ = 4189163520.

The previous prime is 16431126499. The next prime is 16431126541. The reversal of 16431126540 is 4562113461.

16431126540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16431126541) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101164 + ... + 207596.

It is an arithmetic number, because the mean of its divisors is an integer number (500665536).

Almost surely, 216431126540 is an apocalyptic number.

16431126540 is a gapful number since it is divisible by the number (10) 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 16431126540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031945728).

16431126540 is an abundant number, since it is smaller than the sum of its proper divisors (31632764916).

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

16431126540 is a wasteful number, since it uses less digits than its factorization.

16431126540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106559 (or 106557 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 16431126540 in words is "sixteen billion, four hundred thirty-one million, one hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 83 93 124 155 166 186 249 310 332 372 415 465 498 620 830 930 996 1245 1660 1860 2490 2573 4980 5146 7719 10292 12865 15438 25730 30876 38595 51460 77190 106433 154380 212866 319299 425732 532165 638598 1064330 1277196 1596495 2128660 3192990 3299423 6385980 6598846 8833939 9898269 13197692 16497115 17667878 19796538 26501817 32994230 35335756 39593076 44169695 49491345 53003634 65988460 88339390 98982690 106007268 132509085 176678780 197965380 265018170 273852109 530036340 547704218 821556327 1095408436 1369260545 1643112654 2738521090 3286225308 4107781635 5477042180 8215563270 16431126540