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52145155244 = 227131911993769
BaseRepresentation
bin110000100100000101…
…111110110010101100
311222121002022100102002
4300210011332302230
51323243124431434
635542151351432
73524130335450
oct604405766254
9158532270362
1052145155244
1120129642a26
12a133382578
134bc030aa60
1427495b2660
151552d7b57e
hexc2417ecac

52145155244 has 96 divisors (see below), whose sum is σ = 113498112000. Its totient is φ = 20412311040.

The previous prime is 52145155219. The next prime is 52145155253. The reversal of 52145155244 is 44255154125.

It is a junction number, because it is equal to n+sod(n) for n = 52145155198 and 52145155207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13833392 + ... + 13837160.

It is an arithmetic number, because the mean of its divisors is an integer number (1182272000).

Almost surely, 252145155244 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 52145155244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56749056000).

52145155244 is an abundant number, since it is smaller than the sum of its proper divisors (61352956756).

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

52145155244 is a wasteful number, since it uses less digits than its factorization.

52145155244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183 (or 4181 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

The spelling of 52145155244 in words is "fifty-two billion, one hundred forty-five million, one hundred fifty-five thousand, two hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 191 199 364 382 398 764 796 1337 1393 2483 2587 2674 2786 3769 4966 5174 5348 5572 7538 9932 10348 15076 17381 18109 26383 34762 36218 38009 48997 52766 69524 72436 76018 97994 105532 152036 195988 266063 342979 494117 532126 685958 719879 750031 988234 1064252 1371916 1439758 1500062 1976468 2879516 3000124 3458819 5039153 5250217 6917638 9358427 9750403 10078306 10500434 13835276 18716854 19500806 20156612 21000868 37433708 39001612 65508989 68252821 131017978 136505642 143255921 262035956 273011284 286511842 573023684 1002791447 1862326973 2005582894 3724653946 4011165788 7449307892 13036288811 26072577622 52145155244