Search a number
-
+
5435162464 = 25617139217
BaseRepresentation
bin1010000111111010…
…11111111101100000
3112000210012212020111
411003331133331200
542112400144324
62255154221104
7251455055464
oct50375377540
915023185214
105435162464
11233a00a006
121078284794
13688061b84
14397bba4a4
1521c263794
hex143f5ff60

5435162464 has 48 divisors (see below), whose sum is σ = 11029356576. Its totient is φ = 2635315200.

The previous prime is 5435162441. The next prime is 5435162483. The reversal of 5435162464 is 4642615345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118984 + ... + 158200.

It is an arithmetic number, because the mean of its divisors is an integer number (229778262).

Almost surely, 25435162464 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 5435162464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514678288).

5435162464 is an abundant number, since it is smaller than the sum of its proper divisors (5594194112).

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

5435162464 is a wasteful number, since it uses less digits than its factorization.

5435162464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39359 (or 39351 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 5435162464 is about 73723.5543364534. The cubic root of 5435162464 is about 1758.2103950963.

The spelling of 5435162464 in words is "five billion, four hundred thirty-five million, one hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 71 122 142 244 284 488 568 976 1136 1952 2272 4331 8662 17324 34648 39217 69296 78434 138592 156868 313736 627472 1254944 2392237 2784407 4784474 5568814 9568948 11137628 19137896 22275256 38275792 44550512 76551584 89101024 169848827 339697654 679395308 1358790616 2717581232 5435162464