Search a number
-
+
38365013288 = 2372396730803
BaseRepresentation
bin100011101110101110…
…111010010100101000
310200000201112121101002
4203232232322110220
51112032420411123
625342531214132
72525502142460
oct435656722450
9120021477332
1038365013288
11152a8060358
127528447348
133805419ac4
141bdd3aaba0
15ee81c6528
hex8eebba528

38365013288 has 64 divisors (see below), whose sum is σ = 85876623360. Its totient is φ = 15710498496.

The previous prime is 38365013249. The next prime is 38365013303. The reversal of 38365013288 is 88231056383.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230095 + ... + 1260897.

It is an arithmetic number, because the mean of its divisors is an integer number (1341822240).

Almost surely, 238365013288 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 38365013288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42938311680).

38365013288 is an abundant number, since it is smaller than the sum of its proper divisors (47511610072).

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

38365013288 is a wasteful number, since it uses less digits than its factorization.

38365013288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31806 (or 31802 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 38365013288 in words is "thirty-eight billion, three hundred sixty-five million, thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 967 1288 1934 3868 6769 7736 13538 22241 27076 30803 44482 54152 61606 88964 123212 155687 177928 215621 246424 311374 431242 622748 708469 862484 1245496 1416938 1724968 2833876 4959283 5667752 9918566 19837132 29786501 39674264 59573002 119146004 208505507 238292008 417011014 685089523 834022028 1370179046 1668044056 2740358092 4795626661 5480716184 9591253322 19182506644 38365013288