Search a number
-
+
11297173248 = 28331679787
BaseRepresentation
bin10101000010101110…
…10010111100000000
31002011022121212022000
422201113102330000
5141114034020443
65105001344000
7546645250104
oct124127227400
932138555260
1011297173248
114877a61519
122233498000
1310b06758ca
14792549904
15461be08d3
hex2a15d2f00

11297173248 has 144 divisors (see below), whose sum is σ = 33611208960. Its totient is φ = 3742792704.

The previous prime is 11297173231. The next prime is 11297173249. The reversal of 11297173248 is 84237179211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112971732482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297173249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149411 + ... + 1159197.

Almost surely, 211297173248 is an apocalyptic number.

11297173248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11297173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16805604480).

11297173248 is an abundant number, since it is smaller than the sum of its proper divisors (22314035712).

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

11297173248 is an equidigital number, since it uses as much as digits as its factorization.

11297173248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9959 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 11297173248 in words is "eleven billion, two hundred ninety-seven million, one hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 256 288 334 384 432 501 576 668 768 864 1002 1152 1336 1503 1728 2004 2304 2672 3006 3456 4008 4509 5344 6012 6912 8016 9018 9787 10688 12024 16032 18036 19574 21376 24048 29361 32064 36072 39148 42752 48096 58722 64128 72144 78296 88083 96192 117444 128256 144288 156592 176166 192384 234888 264249 288576 313184 352332 384768 469776 528498 577152 626368 704664 939552 1056996 1154304 1252736 1409328 1634429 1879104 2113992 2505472 2818656 3268858 3758208 4227984 4903287 5637312 6537716 7516416 8455968 9806574 11274624 13075432 14709861 16911936 19613148 22549248 26150864 29419722 33823872 39226296 44129583 52301728 58839444 67647744 78452592 88259166 104603456 117678888 156905184 176518332 209206912 235357776 313810368 353036664 418413824 470715552 627620736 706073328 941431104 1255241472 1412146656 1882862208 2824293312 3765724416 5648586624 11297173248