Search a number
-
+
3609061146680 = 23511101142756911
BaseRepresentation
bin110100100001001100110…
…011101100000000111000
3110210000121200021021102112
4310201030303230000320
5433112324123143210
611401551345351452
7521513620404263
oct64411463540070
913700550237375
103609061146680
111171659a24950
124a3563338588
132024437c9562
14c697274bcda
1563d2ed1ad05
hex3484ccec038

3609061146680 has 128 divisors (see below), whose sum is σ = 8952740213760. Its totient is φ = 1298458560000.

The previous prime is 3609061146623. The next prime is 3609061146793. The reversal of 3609061146680 is 866411609063.

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, 63387425 + ... + 63444335.

It is an arithmetic number, because the mean of its divisors is an integer number (69943282920).

Almost surely, 23609061146680 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 3609061146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476370106880).

3609061146680 is an abundant number, since it is smaller than the sum of its proper divisors (5343679067080).

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

3609061146680 is a wasteful number, since it uses less digits than its factorization.

3609061146680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58461 (or 58457 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 3609061146680 in words is "three trillion, six hundred nine billion, sixty-one million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 1427 2020 2222 2854 4040 4444 5555 5708 7135 8888 11110 11416 14270 15697 22220 28540 31394 44440 56911 57080 62788 78485 113822 125576 144127 156970 227644 284555 288254 313940 455288 569110 576508 626021 627880 720635 1138220 1153016 1252042 1441270 1585397 2276440 2504084 2882540 3130105 3170794 5008168 5748011 5765080 6260210 6341588 7926985 11496022 12520420 12683176 15853970 22992044 25040840 28740055 31707940 45984088 57480110 63228121 63415880 81211997 114960220 126456242 162423994 229920440 252912484 316140605 324847988 406059985 505824968 632281210 649695976 812119970 893331967 1264562420 1624239940 1786663934 2529124840 3248479880 3573327868 4466659835 7146655736 8202411697 8933319670 16404823394 17866639340 32809646788 35733278680 41012058485 65619293576 82024116970 90226528667 164048233940 180453057334 328096467880 360906114668 451132643335 721812229336 902265286670 1804530573340 3609061146680