Search a number
-
+
4274555568 = 243715472293
BaseRepresentation
bin1111111011001000…
…1000101010110000
3102000220022220212220
43332302020222300
532223241234233
61544054321040
7210633060063
oct37662105260
912026286786
104274555568
1118a3969958
129b3659180
13531780c2a
142c79c28da
151a0409eb3
hexfec88ab0

4274555568 has 80 divisors (see below), whose sum is σ = 11223495936. Its totient is φ = 1401603840.

The previous prime is 4274555563. The next prime is 4274555581. The reversal of 4274555568 is 8655554724.

4274555568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4274555568.

It is not an unprimeable number, because it can be changed into a prime (4274555561) 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, 1863030 + ... + 1865322.

Almost surely, 24274555568 is an apocalyptic number.

4274555568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4274555568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611747968).

4274555568 is an abundant number, since it is smaller than the sum of its proper divisors (6948940368).

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

4274555568 is a wasteful number, since it uses less digits than its factorization.

4274555568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

The product of its digits is 6720000, while the sum is 51.

The square root of 4274555568 is about 65380.0854083260. The cubic root of 4274555568 is about 1622.9195394352.

The spelling of 4274555568 in words is "four billion, two hundred seventy-four million, five hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 547 568 852 1094 1136 1641 1704 2188 2293 3282 3408 4376 4586 6564 6879 8752 9172 13128 13758 18344 26256 27516 36688 38837 55032 77674 110064 116511 155348 162803 233022 310696 325606 466044 488409 621392 651212 932088 976818 1254271 1302424 1864176 1953636 2508542 2604848 3762813 3907272 5017084 7525626 7814544 10034168 15051252 20068336 30102504 60205008 89053241 178106482 267159723 356212964 534319446 712425928 1068638892 1424851856 2137277784 4274555568