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11552320340 = 225111919714029
BaseRepresentation
bin10101100001001001…
…00110101101010100
31002211002201200022022
422300210212231110
5142124343222330
65150154152312
7556164050141
oct126044465524
932732650268
1011552320340
114998a90290
1222a4a22698
13112149b012
147b83a53c8
154792deae5
hex2b0926b54

11552320340 has 96 divisors (see below), whose sum is σ = 28001635200. Its totient is φ = 3959262720.

The previous prime is 11552320313. The next prime is 11552320343. The reversal of 11552320340 is 4302325511.

It is a happy number.

It is a super-2 number, since 2×115523203402 (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 (11552320343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816446 + ... + 830474.

It is an arithmetic number, because the mean of its divisors is an integer number (291683700).

Almost surely, 211552320340 is an apocalyptic number.

11552320340 is a gapful number since it is divisible by the number (10) 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 11552320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14000817600).

11552320340 is an abundant number, since it is smaller than the sum of its proper divisors (16449314860).

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

11552320340 is a wasteful number, since it uses less digits than its factorization.

11552320340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14265 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 11552320340 its reverse (4302325511), we get a palindrome (15854645851).

The spelling of 11552320340 in words is "eleven billion, five hundred fifty-two million, three hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 197 209 220 380 394 418 788 836 985 1045 1970 2090 2167 3743 3940 4180 4334 7486 8668 10835 14029 14972 18715 21670 28058 37430 41173 43340 56116 70145 74860 82346 140290 154319 164692 205865 266551 280580 308638 411730 533102 617276 771595 823460 1066204 1332755 1543190 2665510 2763713 2932061 3086380 5331020 5527426 5864122 11054852 11728244 13818565 14660305 27637130 29320610 30400843 52510547 55274260 58641220 60801686 105021094 121603372 152004215 210042188 262552735 304008430 525105470 577616017 608016860 1050210940 1155232034 2310464068 2888080085 5776160170 11552320340