Search a number
-
+
17272442016 = 253259973757
BaseRepresentation
bin10000000101100001…
…001000110010100000
31122120202010222002200
4100011201020302200
5240333221121031
611533532213200
71151012222544
oct200541106240
948522128080
1017272442016
117363930375
12342060a200
1318235928bb
14b9bd5ba24
156b15908e6
hex405848ca0

17272442016 has 36 divisors (see below), whose sum is σ = 49118507802. Its totient is φ = 5757480576.

The previous prime is 17272441987. The next prime is 17272442069. The reversal of 17272442016 is 61024427271.

It can be written as a sum of positive squares in only one way, i.e., 11235152016 + 6037290000 = 105996^2 + 77700^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29986591 + ... + 29987166.

Almost surely, 217272442016 is an apocalyptic number.

17272442016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

17272442016 is an abundant number, since it is smaller than the sum of its proper divisors (31846065786).

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

17272442016 is a wasteful number, since it uses less digits than its factorization.

17272442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59973773 (or 59973762 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 17272442016 its reverse (61024427271), we get a palindrome (78296869287).

The spelling of 17272442016 in words is "seventeen billion, two hundred seventy-two million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 59973757 119947514 179921271 239895028 359842542 479790056 539763813 719685084 959580112 1079527626 1439370168 1919160224 2159055252 2878740336 4318110504 5757480672 8636221008 17272442016