Search a number
-
+
1010073002752 = 2811536767749
BaseRepresentation
bin11101011001011010000…
…10101110001100000000
310120120011201112222120001
432230231002232030000
5113022112142042002
62052004321525344
7132655356602002
oct16545502561400
93516151488501
101010073002752
1135a407971a60
121439134a3854
13743321364b8
1436c60170372
151b41ac44a87
hexeb2d0ae300

1010073002752 has 72 divisors (see below), whose sum is σ = 2240991522000. Its totient is φ = 450461306880.

The previous prime is 1010073002749. The next prime is 1010073002761. The reversal of 1010073002752 is 2572003700101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010073002752.

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 7 ways as a sum of consecutive naturals, for example, 3234627 + ... + 3533122.

It is an arithmetic number, because the mean of its divisors is an integer number (31124882250).

Almost surely, 21010073002752 is an apocalyptic number.

It is an amenable number.

1010073002752 is an abundant number, since it is smaller than the sum of its proper divisors (1230918519248).

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

1010073002752 is an equidigital number, since it uses as much as digits as its factorization.

1010073002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767829 (or 6767815 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 1010073002752 its reverse (2572003700101), we get a palindrome (3582076702853).

The spelling of 1010073002752 in words is "one trillion, ten billion, seventy-three million, two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 1166 1408 1696 2332 2816 3392 4664 6784 9328 13568 18656 37312 74624 149248 6767749 13535498 27070996 54141992 74445239 108283984 148890478 216567968 297780956 358690697 433135936 595561912 717381394 866271872 1191123824 1434762788 1732543744 2382247648 2869525576 3945597667 4764495296 5739051152 7891195334 9528990592 11478102304 15782390668 19057981184 22956204608 31564781336 45912409216 63129562672 91824818432 126259125344 252518250688 505036501376 1010073002752