Search a number
-
+
11260253256 = 23373110121407
BaseRepresentation
bin10100111110010100…
…11101010001001000
31002001202011010120220
422133022131101020
5141030111101011
65101202150040
7546016400460
oct123712352110
932052133526
1011260253256
114859134a2a
122223052320
1310a5b19c65
1478b698ba0
1545d84b506
hex29f29d448

11260253256 has 128 divisors (see below), whose sum is σ = 33540341760. Its totient is φ = 3082464000.

The previous prime is 11260253239. The next prime is 11260253269. The reversal of 11260253256 is 65235206211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515305 + ... + 536711.

It is an arithmetic number, because the mean of its divisors is an integer number (262033920).

Almost surely, 211260253256 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 11260253256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16770170880).

11260253256 is an abundant number, since it is smaller than the sum of its proper divisors (22280088504).

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

11260253256 is a wasteful number, since it uses less digits than its factorization.

11260253256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21555 (or 21551 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 11260253256 its reverse (65235206211), we get a palindrome (76495459467).

The spelling of 11260253256 in words is "eleven billion, two hundred sixty million, two hundred fifty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 101 124 168 186 202 217 248 303 372 404 434 606 651 707 744 808 868 1212 1302 1414 1736 2121 2424 2604 2828 3131 4242 5208 5656 6262 8484 9393 12524 16968 18786 21407 21917 25048 37572 42814 43834 64221 65751 75144 85628 87668 128442 131502 149849 171256 175336 256884 263004 299698 449547 513768 526008 599396 663617 899094 1198792 1327234 1798188 1990851 2162107 2654468 3596376 3981702 4324214 4645319 5308936 6486321 7963404 8648428 9290638 12972642 13935957 15134749 15926808 17296856 18581276 25945284 27871914 30269498 37162552 45404247 51890568 55743828 60538996 67025317 90808494 111487656 121077992 134050634 181616988 201075951 268101268 363233976 402151902 469177219 536202536 804303804 938354438 1407531657 1608607608 1876708876 2815063314 3753417752 5630126628 11260253256