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11255444320 = 255174319601
BaseRepresentation
bin10100111101110000…
…00111001101100000
31002001102002210222011
422132320013031200
5141022343204240
65100511122304
7545630461321
oct123670071540
932042083864
1011255444320
11485644a9aa
122221513394
1310a4b25133
1478aba6448
1545d1eb6ea
hex29ee07360

11255444320 has 96 divisors (see below), whose sum is σ = 28223427456. Its totient is φ = 4227072000.

The previous prime is 11255444311. The next prime is 11255444327. The reversal of 11255444320 is 2344455211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11255444327) 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, 1167520 + ... + 1177120.

It is an arithmetic number, because the mean of its divisors is an integer number (293994036).

Almost surely, 211255444320 is an apocalyptic number.

11255444320 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 11255444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14111713728).

11255444320 is an abundant number, since it is smaller than the sum of its proper divisors (16967983136).

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

11255444320 is a wasteful number, since it uses less digits than its factorization.

11255444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 11255444320 its reverse (2344455211), we get a palindrome (13599899531).

It can be divided in two parts, 1125 and 5444320, that added together give a palindrome (5445445).

The spelling of 11255444320 in words is "eleven billion, two hundred fifty-five million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 431 544 680 862 1360 1724 2155 2720 3448 4310 6896 7327 8620 9601 13792 14654 17240 19202 29308 34480 36635 38404 48005 58616 68960 73270 76808 96010 117232 146540 153616 163217 192020 234464 293080 307232 326434 384040 586160 652868 768080 816085 1172320 1305736 1536160 1632170 2611472 3264340 4138031 5222944 6528680 8276062 13057360 16552124 20690155 26114720 33104248 41380310 66208496 70346527 82760620 132416992 140693054 165521240 281386108 331042480 351732635 562772216 662084960 703465270 1125544432 1406930540 2251088864 2813861080 5627722160 11255444320