Search a number
-
+
6101079160 = 23511291493209
BaseRepresentation
bin1011010111010011…
…10001010001111000
3120202012020221012211
411223221301101320
544443334013120
62445223144504
7304122213541
oct55351612170
916665227184
106101079160
11265099a090
1212232a5134
13762cc9817
1441c4014c8
1525a95225a
hex16ba71478

6101079160 has 128 divisors (see below), whose sum is σ = 15600600000. Its totient is φ = 2127032320.

The previous prime is 6101079157. The next prime is 6101079233. The reversal of 6101079160 is 619701016.

It is a congruent number.

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, 1899636 + ... + 1902844.

Almost surely, 26101079160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6101079160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800300000).

6101079160 is an abundant number, since it is smaller than the sum of its proper divisors (9499520840).

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

6101079160 is a wasteful number, since it uses less digits than its factorization.

6101079160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 6101079160 is about 78109.4050675077. The cubic root of 6101079160 is about 1827.2678790420.

The spelling of 6101079160 in words is "six billion, one hundred one million, seventy-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 149 220 232 290 298 319 440 580 596 638 745 1160 1192 1276 1490 1595 1639 2552 2980 3190 3209 3278 4321 5960 6380 6418 6556 8195 8642 12760 12836 13112 16045 16390 17284 21605 25672 32090 32780 34568 35299 43210 47531 64180 65560 70598 86420 93061 95062 128360 141196 172840 176495 186122 190124 237655 282392 352990 372244 380248 465305 475310 478141 705980 744488 930610 950620 956282 1023671 1411960 1861220 1901240 1912564 2047342 2390705 3722440 3825128 4094684 4781410 5118355 5259551 8189368 9562820 10236710 10519102 13866089 19125640 20473420 21038204 26297755 27732178 40946840 42076408 52595510 55464356 69330445 105191020 110928712 138660890 152526979 210382040 277321780 305053958 554643560 610107916 762634895 1220215832 1525269790 3050539580 6101079160