Search a number
-
+
48217643448 = 23313293527453
BaseRepresentation
bin101100111001111111…
…101101100110111000
311121110101000002002020
4230321333231212320
51242222204042243
634052331234440
73324610130652
oct547177554670
9147411002066
1048217643448
11194a366a207
129417ba8a20
134715719590
142495b2b6d2
1513c3174283
hexb39fed9b8

48217643448 has 64 divisors (see below), whose sum is σ = 130260039840. Its totient is φ = 14785534464.

The previous prime is 48217643413. The next prime is 48217643449. The reversal of 48217643448 is 84434671284.

It is a happy number.

It is a super-2 number, since 2×482176434482 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48217643448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48217643449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172311 + ... + 355142.

Almost surely, 248217643448 is an apocalyptic number.

It is an amenable number.

48217643448 is an abundant number, since it is smaller than the sum of its proper divisors (82042396392).

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

48217643448 is a wasteful number, since it uses less digits than its factorization.

48217643448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527768 (or 527764 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The spelling of 48217643448 in words is "forty-eight billion, two hundred seventeen million, six hundred forty-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 293 312 586 879 1172 1758 2344 3516 3809 7032 7618 11427 15236 22854 30472 45708 91416 527453 1054906 1582359 2109812 3164718 4219624 6329436 6856889 12658872 13713778 20570667 27427556 41141334 54855112 82282668 154543729 164565336 309087458 463631187 618174916 927262374 1236349832 1854524748 2009068477 3709049496 4018136954 6027205431 8036273908 12054410862 16072547816 24108821724 48217643448