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11137450320 = 243355156227
BaseRepresentation
bin10100101111101100…
…00000000101010000
31001202012002002122000
422113312000011100
5140302141402240
65041054114000
7542665523433
oct122766000520
931665062560
1011137450320
1147a58892a7
1221a9aab900
1310865512b9
1477924d81a
15452b90430
hex297d80150

11137450320 has 80 divisors (see below), whose sum is σ = 38362336320. Its totient is φ = 2969986176.

The previous prime is 11137450297. The next prime is 11137450393. The reversal of 11137450320 is 2305473111.

11137450320 is a `hidden beast` number, since 1 + 1 + 137 + 4 + 503 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575954 + ... + 2580273.

It is an arithmetic number, because the mean of its divisors is an integer number (479529204).

Almost surely, 211137450320 is an apocalyptic number.

11137450320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11137450320 is an abundant number, since it is smaller than the sum of its proper divisors (27224886000).

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

11137450320 is a wasteful number, since it uses less digits than its factorization.

11137450320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156249 (or 5156237 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11137450320 in words is "eleven billion, one hundred thirty-seven million, four hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5156227 10312454 15468681 20624908 25781135 30937362 41249816 46406043 51562270 61874724 77343405 82499632 92812086 103124540 123749448 139218129 154686810 185624172 206249080 232030215 247498896 278436258 309373620 371248344 412498160 464060430 556872516 618747240 696090645 742496688 928120860 1113745032 1237494480 1392181290 1856241720 2227490064 2784362580 3712483440 5568725160 11137450320