Search a number
-
+
483189515328 = 263131753110431
BaseRepresentation
bin1110000100000000101…
…01101110010001000000
31201012012022022121111010
413002000111232101000
530404033003442303
61005550232120520
746623613054062
oct7020025562100
91635168277433
10483189515328
11176a12980563
127978b236140
13367454b0620
141955a797732
15c87ede3c03
hex708056e440

483189515328 has 112 divisors (see below), whose sum is σ = 1377578241536. Its totient is φ = 148587540480.

The previous prime is 483189515323. The next prime is 483189515351. The reversal of 483189515328 is 823515981384.

It is not an unprimeable number, because it can be changed into a prime (483189515323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4320273 + ... + 4430703.

It is an arithmetic number, because the mean of its divisors is an integer number (12299805728).

Almost surely, 2483189515328 is an apocalyptic number.

483189515328 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 483189515328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688789120768).

483189515328 is an abundant number, since it is smaller than the sum of its proper divisors (894388726208).

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

483189515328 is a wasteful number, since it uses less digits than its factorization.

483189515328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112212 (or 112202 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 57.

The spelling of 483189515328 in words is "four hundred eighty-three billion, one hundred eighty-nine million, five hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1753 2496 3506 5259 7012 10518 14024 21036 22789 28048 42072 45578 56096 68367 84144 91156 110431 112192 136734 168288 182312 220862 273468 331293 336576 364624 441724 546936 662586 729248 883448 1093872 1325172 1435603 1458496 1766896 2187744 2650344 2871206 3533792 4306809 4375488 5300688 5742412 7067584 8613618 10601376 11484824 17227236 21202752 22969648 34454472 45939296 68908944 91878592 137817888 193585543 275635776 387171086 580756629 774342172 1161513258 1548684344 2323026516 2516612059 3097368688 4646053032 5033224118 6194737376 7549836177 9292106064 10066448236 12389474752 15099672354 18584212128 20132896472 30199344708 37168424256 40265792944 60398689416 80531585888 120797378832 161063171776 241594757664 483189515328