Search a number
-
+
5649023688 = 2337113179643
BaseRepresentation
bin1010100001011010…
…10100001011001000
3112120200122010200120
411100231110023020
543032122224223
62332314103240
7256662623550
oct52055241310
915520563616
105649023688
1124397aa120
121117a1ab20
136c0460389
143b836a160
15230e09be3
hex150b542c8

5649023688 has 128 divisors (see below), whose sum is σ = 17664721920. Its totient is φ = 1462498560.

The previous prime is 5649023683. The next prime is 5649023689. The reversal of 5649023688 is 8863209465.

It is a super-2 number, since 2×56490236882 = 63822937255170242688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5649023688.

It is not an unprimeable number, because it can be changed into a prime (5649023683) 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 31 ways as a sum of consecutive naturals, for example, 580995 + ... + 590637.

It is an arithmetic number, because the mean of its divisors is an integer number (138005640).

Almost surely, 25649023688 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 5649023688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832360960).

5649023688 is an abundant number, since it is smaller than the sum of its proper divisors (12015698232).

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

5649023688 is a wasteful number, since it uses less digits than its factorization.

5649023688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9987 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 5649023688 is about 75159.9872804673. The cubic root of 5649023688 is about 1780.9748991905.

The spelling of 5649023688 in words is "five billion, six hundred forty-nine million, twenty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 317 462 616 634 924 951 1268 1848 1902 2219 2536 3487 3804 4438 6657 6974 7608 8876 9643 10461 13314 13948 17752 19286 20922 24409 26628 27896 28929 38572 41844 48818 53256 57858 67501 73227 77144 83688 97636 106073 115716 135002 146454 195272 202503 212146 231432 270004 292908 318219 405006 424292 540008 585816 636438 742511 810012 848584 1272876 1485022 1620024 2227533 2545752 2970044 3056831 4455066 5940088 6113662 8910132 9170493 12227324 17820264 18340986 21397817 24454648 33625141 36681972 42795634 64193451 67250282 73363944 85591268 100875423 128386902 134500564 171182536 201750846 235375987 256773804 269001128 403501692 470751974 513547608 706127961 807003384 941503948 1412255922 1883007896 2824511844 5649023688