Search a number
-
+
1375137568 = 25722813121
BaseRepresentation
bin101000111110110…
…1110111100100000
310112211120020010001
41101331232330200
510304013400233
6344241545344
746035322300
oct12175567440
93484506101
101375137568
11646258232
12324645254
1318bb8508c
14d08bd600
1580ad327d
hex51f6ef20

1375137568 has 72 divisors (see below), whose sum is σ = 3161530764. Its totient is φ = 587059200.

The previous prime is 1375137563. The next prime is 1375137611. The reversal of 1375137568 is 8657315731.

It can be written as a sum of positive squares in 2 ways, for example, as 1262523024 + 112614544 = 35532^2 + 10612^2 .

It is not an unprimeable number, because it can be changed into a prime (1375137563) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 439048 + ... + 442168.

Almost surely, 21375137568 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 1375137568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580765382).

1375137568 is an abundant number, since it is smaller than the sum of its proper divisors (1786393196).

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

1375137568 is a wasteful number, since it uses less digits than its factorization.

1375137568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3411 counting only the distinct ones).

The product of its digits is 529200, while the sum is 46.

The square root of 1375137568 is about 37082.8473556171. The cubic root of 1375137568 is about 1112.0271287138.

The spelling of 1375137568 in words is "one billion, three hundred seventy-five million, one hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 281 392 562 784 1124 1568 1967 2248 3121 3934 4496 6242 7868 8992 12484 13769 15736 21847 24968 27538 31472 43694 49936 55076 62944 87388 99872 110152 152929 174776 220304 305858 349552 440608 611716 699104 877001 1223432 1754002 2446864 3508004 4893728 6139007 7016008 12278014 14032016 24556028 28064032 42973049 49112056 85946098 98224112 171892196 196448224 343784392 687568784 1375137568