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5965105056 = 253537971471
BaseRepresentation
bin1011000111000110…
…00100011110100000
3120101201101201210220
411203203010132200
544204031330211
62423524523040
7300551361561
oct54343043640
916351351726
105965105056
112591167799
1211a5850480
13740a9ba81
14408328168
1524da43806
hex1638c47a0

5965105056 has 96 divisors (see below), whose sum is σ = 15984718848. Its totient is φ = 1947079680.

The previous prime is 5965105051. The next prime is 5965105079. The reversal of 5965105056 is 6505015695.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5965104999 and 5965105017.

It is not an unprimeable number, because it can be changed into a prime (5965105051) 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, 4054401 + ... + 4055871.

It is an arithmetic number, because the mean of its divisors is an integer number (166507488).

Almost surely, 25965105056 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 5965105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992359424).

5965105056 is an abundant number, since it is smaller than the sum of its proper divisors (10019613792).

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

5965105056 is a wasteful number, since it uses less digits than its factorization.

5965105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 5965105056 is about 77234.0925757531. The cubic root of 5965105056 is about 1813.5910570587.

The spelling of 5965105056 in words is "five billion, nine hundred sixty-five million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 797 848 1272 1471 1594 1696 2391 2544 2942 3188 4413 4782 5088 5884 6376 8826 9564 11768 12752 17652 19128 23536 25504 35304 38256 42241 47072 70608 76512 77963 84482 126723 141216 155926 168964 233889 253446 311852 337928 467778 506892 623704 675856 935556 1013784 1172387 1247408 1351712 1871112 2027568 2344774 2494816 3517161 3742224 4055136 4689548 7034322 7484448 9379096 14068644 18758192 28137288 37516384 56274576 62136511 112549152 124273022 186409533 248546044 372819066 497092088 745638132 994184176 1491276264 1988368352 2982552528 5965105056