Search a number
-
+
16103450660 = 22511191409937
BaseRepresentation
bin11101111111101011…
…10010100000100100
31112120021111001102112
432333311302200210
5230434440410120
611221532500152
71110026033513
oct167765624044
945507431375
1016103450660
116913a83910
12315501a658
13169833753b
14aca9c067a
15643b2cbc5
hex3bfd72824

16103450660 has 96 divisors (see below), whose sum is σ = 37215037440. Its totient is φ = 5804697600.

The previous prime is 16103450647. The next prime is 16103450663. The reversal of 16103450660 is 6605430161.

It is a super-2 number, since 2×161034506602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16103450663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17185712 + ... + 17186648.

It is an arithmetic number, because the mean of its divisors is an integer number (387656640).

Almost surely, 216103450660 is an apocalyptic number.

16103450660 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 16103450660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607518720).

16103450660 is an abundant number, since it is smaller than the sum of its proper divisors (21111586780).

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

16103450660 is a wasteful number, since it uses less digits than its factorization.

16103450660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 16103450660 in words is "sixteen billion, one hundred three million, four hundred fifty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 409 764 818 937 955 1636 1874 1910 2045 2101 3748 3820 4090 4202 4499 4685 8180 8404 8998 9370 10307 10505 17996 18740 20614 21010 22495 41228 42020 44990 51535 78119 89980 103070 156238 178967 206140 312476 357934 383233 390595 715868 766466 781190 859309 894835 1532932 1562380 1718618 1789670 1916165 1968637 3437236 3579340 3832330 3937274 4215563 4296545 7664660 7874548 8431126 8593090 9843185 16862252 17186180 19686370 21077815 39372740 42155630 73197503 84311260 146395006 292790012 365987515 731975030 805172533 1463950060 1610345066 3220690132 4025862665 8051725330 16103450660