Search a number
-
+
16251726660 = 223513102120407
BaseRepresentation
bin11110010001010110…
…11010101101000100
31112221121111020212020
433020223122231010
5231240420223120
611244350523140
71113506253201
oct171053325504
945847436766
1016251726660
11698a748864
1231968064b0
1316bcc81810
14b0257aca8
15651b6b640
hex3c8adab44

16251726660 has 96 divisors (see below), whose sum is σ = 49055607552. Its totient is φ = 3996311040.

The previous prime is 16251726637. The next prime is 16251726671. The reversal of 16251726660 is 6662715261.

16251726660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 786177 + ... + 806583.

It is an arithmetic number, because the mean of its divisors is an integer number (510995912).

Almost surely, 216251726660 is an apocalyptic number.

16251726660 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 16251726660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24527803776).

16251726660 is an abundant number, since it is smaller than the sum of its proper divisors (32803880892).

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

16251726660 is a wasteful number, since it uses less digits than its factorization.

16251726660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21453 (or 21451 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 16251726660 in words is "sixteen billion, two hundred fifty-one million, seven hundred twenty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1021 2042 3063 4084 5105 6126 10210 12252 13273 15315 20407 20420 26546 30630 39819 40814 53092 61221 61260 66365 79638 81628 102035 122442 132730 159276 199095 204070 244884 265291 265460 306105 398190 408140 530582 612210 795873 796380 1061164 1224420 1326455 1591746 2652910 3183492 3979365 5305820 7958730 15917460 20835547 41671094 62506641 83342188 104177735 125013282 208355470 250026564 270862111 312533205 416710940 541724222 625066410 812586333 1083448444 1250132820 1354310555 1625172666 2708621110 3250345332 4062931665 5417242220 8125863330 16251726660