Search a number
-
+
16641125460 = 22335239128941
BaseRepresentation
bin11110111111110001…
…10110110001010100
31120221202012202121000
433133320312301110
5233040112003320
611351141023300
71126245142521
oct173770666124
946852182530
1016641125460
11706a532953
1232850b4b30
1317528509cb
14b3c182148
15675e38c90
hex3dfe36c54

16641125460 has 96 divisors (see below), whose sum is σ = 51989414400. Its totient is φ = 4419031680.

The previous prime is 16641125443. The next prime is 16641125483. The reversal of 16641125460 is 6452114661.

16641125460 is a `hidden beast` number, since 1 + 6 + 641 + 1 + 2 + 5 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64590 + ... + 193530.

It is an arithmetic number, because the mean of its divisors is an integer number (541556400).

Almost surely, 216641125460 is an apocalyptic number.

16641125460 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 16641125460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994707200).

16641125460 is an abundant number, since it is smaller than the sum of its proper divisors (35348288940).

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

16641125460 is a wasteful number, since it uses less digits than its factorization.

16641125460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129198 (or 129190 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16641125460 in words is "sixteen billion, six hundred forty-one million, one hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 239 270 478 540 717 956 1195 1434 2151 2390 2868 3585 4302 4780 6453 7170 8604 10755 12906 14340 21510 25812 32265 43020 64530 128941 129060 257882 386823 515764 644705 773646 1160469 1289410 1547292 1934115 2320938 2578820 3481407 3868230 4641876 5802345 6962814 7736460 11604690 13925628 17407035 23209380 30816899 34814070 61633798 69628140 92450697 123267596 154084495 184901394 277352091 308168990 369802788 462253485 554704182 616337980 832056273 924506970 1109408364 1386760455 1664112546 1849013940 2773520910 3328225092 4160281365 5547041820 8320562730 16641125460