Search a number
-
+
48446222264484 = 223111973221578401
BaseRepresentation
bin10110000001111110000111…
…10111100110100010100100
320100112102011112020002220020
423000333003313212202210
522322220330344430414
6251011515352035140
713130060356530462
oct1300770367464244
9210472145202806
1048446222264484
1114488a22529090
125525251992ab0
1321055c79c95c5
14bd6b49a33832
155902e64517a9
hex2c0fc3de68a4

48446222264484 has 96 divisors (see below), whose sum is σ = 123982328840832. Its totient is φ = 14601592320000.

The previous prime is 48446222264483. The next prime is 48446222264491.

48446222264484 is nontrivially palindromic in base 10.

48446222264484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48446222264483) 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 31 ways as a sum of consecutive naturals, for example, 83469684 + ... + 84048084.

It is an arithmetic number, because the mean of its divisors is an integer number (1291482592092).

Almost surely, 248446222264484 is an apocalyptic number.

48446222264484 is a gapful number since it is divisible by the number (44) 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 48446222264484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61991164420416).

48446222264484 is an abundant number, since it is smaller than the sum of its proper divisors (75536106576348).

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

48446222264484 is a wasteful number, since it uses less digits than its factorization.

48446222264484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581837 (or 581835 counting only the distinct ones).

The product of its digits is 150994944, while the sum is 60.

The spelling of 48446222264484 in words is "forty-eight trillion, four hundred forty-six billion, two hundred twenty-two million, two hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 197 394 591 788 1182 2167 2364 3221 4334 6442 6501 8668 9663 12884 13002 19326 26004 35431 38652 70862 106293 141724 212586 425172 578401 634537 1156802 1269074 1735203 1903611 2313604 2538148 3470406 3807222 6362411 6940812 6979907 7614444 12724822 13959814 19087233 20939721 25449644 27919628 38174466 41879442 76348932 83758884 113944997 227889994 341834991 455779988 683669982 1253394967 1367339964 1863029621 2506789934 3726059242 3760184901 5013579868 5589088863 7452118484 7520369802 11178177726 15040739604 20493325831 22356355452 40986651662 61479977493 81973303324 122959954986 245919909972 367016835337 734033670674 1101050506011 1468067341348 2202101012022 4037185188707 4404202024044 8074370377414 12111555566121 16148740754828 24223111132242 48446222264484