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6028790634 = 23641100853
BaseRepresentation
bin1011001110101100…
…00000101101101010
3120120011020022000000
411213112000231222
544321332300014
62434121523430
7302253606036
oct54726005552
916504208000
106028790634
1126141056a9
121203043576
13751039449
144129851c6
15254423509
hex167580b6a

6028790634 has 56 divisors (see below), whose sum is σ = 13889411172. Its totient is φ = 1960562880.

The previous prime is 6028790633. The next prime is 6028790653. The reversal of 6028790634 is 4360978206.

6028790634 is a `hidden beast` number, since 6 + 0 + 2 + 8 + 7 + 9 + 0 + 634 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4721751225 + 1307039409 = 68715^2 + 36153^2 .

It is a super-2 number, since 2×60287906342 = 72692633017212243912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6028790634.

It is not an unprimeable number, because it can be changed into a prime (6028790633) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9352 + ... + 110204.

Almost surely, 26028790634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6028790634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944705586).

6028790634 is an abundant number, since it is smaller than the sum of its proper divisors (7860620538).

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

6028790634 is a wasteful number, since it uses less digits than its factorization.

6028790634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100914 (or 100899 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6028790634 is about 77645.2872620097. The cubic root of 6028790634 is about 1820.0224038219.

The spelling of 6028790634 in words is "six billion, twenty-eight million, seven hundred ninety thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2214 3321 6642 9963 19926 29889 59778 100853 201706 302559 605118 907677 1815354 2723031 4134973 5446062 8169093 8269946 12404919 16338186 24507279 24809838 37214757 49014558 73521837 74429514 111644271 147043674 223288542 334932813 669865626 1004798439 2009596878 3014395317 6028790634