Search a number
-
+
5950968608 = 2513210492
BaseRepresentation
bin1011000101011010…
…01001001100100000
3120100201210112020202
411202231021030200
544141421443413
62422301524332
7300320253464
oct54255111440
916321715222
105950968608
112584191882
1211a0b736a8
1373ab8c500
144064c84a4
1524c69ee58
hex162b49320

5950968608 has 54 divisors (see below), whose sum is σ = 12698628579. Its totient is φ = 2743982592.

The previous prime is 5950968601. The next prime is 5950968623. The reversal of 5950968608 is 8068690595.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3477696784 + 2473271824 = 58972^2 + 49732^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=54548.

It is not an unprimeable number, because it can be changed into a prime (5950968601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5672468 + ... + 5673516.

Almost surely, 25950968608 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 5950968608

5950968608 is an abundant number, since it is smaller than the sum of its proper divisors (6747659971).

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

5950968608 is an equidigital number, since it uses as much as digits as its factorization.

5950968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 56.

The square root of 5950968608 is about 77142.5214003276. The cubic root of 5950968608 is about 1812.1572731477.

The spelling of 5950968608 in words is "five billion, nine hundred fifty million, nine hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1049 1352 2098 2704 4196 5408 8392 13637 16784 27274 33568 54548 109096 177281 218192 354562 436384 709124 1100401 1418248 2200802 2836496 4401604 5672992 8803208 14305213 17606416 28610426 35212832 57220852 114441704 185967769 228883408 371935538 457766816 743871076 1487742152 2975484304 5950968608