Search a number
-
+
3561095492440 = 235372789862727
BaseRepresentation
bin110011110100100001110…
…101001111001101011000
3110121102210212102120112221
4303310201311033031120
5431321110421224230
611323540015113424
7515165160151603
oct63644165171530
913542725376487
103561095492440
111153285627992
124961b7812874
131caa6b36ac25
14c450229733a
1562973d7027a
hex33d21d4f358

3561095492440 has 64 divisors (see below), whose sum is σ = 8231978030400. Its totient is φ = 1385441330688.

The previous prime is 3561095492401. The next prime is 3561095492441. The reversal of 3561095492440 is 442945901653.

It is a happy number.

It is a super-2 number, since 2×35610954924402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561095492441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3696357 + ... + 4559083.

It is an arithmetic number, because the mean of its divisors is an integer number (128624656725).

Almost surely, 23561095492440 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 3561095492440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115989015200).

3561095492440 is an abundant number, since it is smaller than the sum of its proper divisors (4670882537960).

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

3561095492440 is a wasteful number, since it uses less digits than its factorization.

3561095492440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865564 (or 865560 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 3561095492440 in words is "three trillion, five hundred sixty-one billion, ninety-five million, four hundred ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2789 5578 11156 13945 22312 27890 55780 103193 111560 206386 412772 515965 825544 862727 1031930 1725454 2063860 3450908 4127720 4313635 6901816 8627270 17254540 31920899 34509080 63841798 127683596 159604495 255367192 319208990 638417980 1276835960 2406145603 4812291206 9624582412 12030728015 19249164824 24061456030 48122912060 89027387311 96245824120 178054774622 356109549244 445136936555 712219098488 890273873110 1780547746220 3561095492440