Search a number
-
+
1005130530352 = 24139776964783
BaseRepresentation
bin11101010000001100111…
…00101011111000110000
310120002102021102101000201
432220012130223320300
5112432001403432402
62045430043324544
7132422033353324
oct16500634537060
93502367371021
101005130530352
11358300a87323
12142974220754
1373a2519a410
14369119a5984
151b22bda3687
hexea0672be30

1005130530352 has 80 divisors (see below), whose sum is σ = 2121652677760. Its totient is φ = 458519740416.

The previous prime is 1005130530319. The next prime is 1005130530379. The reversal of 1005130530352 is 2530350315001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005130530352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15482953 + ... + 15547735.

It is an arithmetic number, because the mean of its divisors is an integer number (26520658472).

Almost surely, 21005130530352 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 1005130530352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060826338880).

1005130530352 is an abundant number, since it is smaller than the sum of its proper divisors (1116522147408).

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

1005130530352 is a wasteful number, since it uses less digits than its factorization.

1005130530352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65670 (or 65664 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

Adding to 1005130530352 its reverse (2530350315001), we get a palindrome (3535480845353).

The spelling of 1005130530352 in words is "one trillion, five billion, one hundred thirty million, five hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 769 776 1261 1538 1552 2522 3076 5044 6152 9997 10088 12304 19994 20176 39988 64783 74593 79976 129566 149186 159952 259132 298372 518264 596744 842179 969709 1036528 1193488 1684358 1939418 3368716 3878836 6283951 6737432 7757672 12567902 13474864 15515344 25135804 49818127 50271608 81691363 99636254 100543216 163382726 199272508 326765452 398545016 647635651 653530904 797090032 1295271302 1307061808 2590542604 4832358319 5181085208 9664716638 10362170416 19329433276 38658866552 62820658147 77317733104 125641316294 251282632588 502565265176 1005130530352