Search a number
-
+
48602143184 = 2471927318363
BaseRepresentation
bin101101010000111010…
…011101100111010000
311122110011111200120012
4231100322131213100
51244014122040214
634154424334052
73340256254310
oct552072354720
9148404450505
1048602143184
1119680708591
129504914328
13477729190a
1424d0c19440
1513e6cc503e
hexb50e9d9d0

48602143184 has 80 divisors (see below), whose sum is σ = 113338222080. Its totient is φ = 19723616640.

The previous prime is 48602143181. The next prime is 48602143189. The reversal of 48602143184 is 48134120684.

48602143184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48602143181) 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, 5807387 + ... + 5815749.

It is an arithmetic number, because the mean of its divisors is an integer number (1416727776).

Almost surely, 248602143184 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 48602143184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56669111040).

48602143184 is an abundant number, since it is smaller than the sum of its proper divisors (64736078896).

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

48602143184 is a wasteful number, since it uses less digits than its factorization.

48602143184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128 (or 11122 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 48602143184 in words is "forty-eight billion, six hundred two million, one hundred forty-three thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2731 5462 8363 10924 16726 19117 21848 33452 38234 43696 51889 58541 66904 76468 103778 117082 133808 152936 158897 207556 234164 305872 317794 363223 415112 468328 635588 726446 830224 936656 1112279 1271176 1452892 2224558 2542352 2905784 4449116 5811568 8898232 17796464 22839353 45678706 91357412 159875471 182714824 319750942 365429648 433947707 639501884 867895414 1279003768 1735790828 2558007536 3037633949 3471581656 6075267898 6943163312 12150535796 24301071592 48602143184