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6134061660 = 22354113917939
BaseRepresentation
bin1011011011001111…
…00101101001011100
3120211111022121200220
411231213211221130
5100030304433120
62452402121340
7305002443456
oct55547455134
916744277626
106134061660
112668577351
121232350250
13769aa71ac
144229492d6
1525d7b9b40
hex16d9e5a5c

6134061660 has 96 divisors (see below), whose sum is σ = 17721849600. Its totient is φ = 1584284160.

The previous prime is 6134061641. The next prime is 6134061677. The reversal of 6134061660 is 661604316.

It is a congruent number.

It is an unprimeable number.

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, 332971 + ... + 350909.

It is an arithmetic number, because the mean of its divisors is an integer number (184602600).

Almost surely, 26134061660 is an apocalyptic number.

6134061660 is a gapful number since it is divisible by the number (60) 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 6134061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8860924800).

6134061660 is an abundant number, since it is smaller than the sum of its proper divisors (11587787940).

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

6134061660 is a wasteful number, since it uses less digits than its factorization.

6134061660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18131 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 6134061660 is about 78320.2506380055. The cubic root of 6134061660 is about 1830.5547065763.

Adding to 6134061660 its reverse (661604316), we get a palindrome (6795665976).

The spelling of 6134061660 in words is "six billion, one hundred thirty-four million, sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 139 164 205 246 278 410 417 492 556 615 695 820 834 1230 1390 1668 2085 2460 2780 4170 5699 8340 11398 17097 17939 22796 28495 34194 35878 53817 56990 68388 71756 85485 89695 107634 113980 170970 179390 215268 269085 341940 358780 538170 735499 1076340 1470998 2206497 2493521 2941996 3677495 4412994 4987042 7354990 7480563 8825988 9974084 11032485 12467605 14709980 14961126 22064970 24935210 29922252 37402815 44129940 49870420 74805630 102234361 149611260 204468722 306703083 408937444 511171805 613406166 1022343610 1226812332 1533515415 2044687220 3067030830 6134061660