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11347145500 = 2253591931993
BaseRepresentation
bin10101001000101011…
…11011001100011100
31002021210122201100011
422210111323030130
5141214332124000
65113544413004
7551123100565
oct124425731434
932253581304
1011347145500
1148a31933a9
122248177164
1310bab214a2
1479903716c
154662b22ba
hex2a457b31c

11347145500 has 96 divisors (see below), whose sum is σ = 25345494720. Its totient is φ = 4436582400.

The previous prime is 11347145497. The next prime is 11347145561. The reversal of 11347145500 is 554174311.

11347145500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5692504 + ... + 5694496.

It is an arithmetic number, because the mean of its divisors is an integer number (264015570).

Almost surely, 211347145500 is an apocalyptic number.

11347145500 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 11347145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672747360).

11347145500 is an abundant number, since it is smaller than the sum of its proper divisors (13998349220).

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

11347145500 is a wasteful number, since it uses less digits than its factorization.

11347145500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 11347145500 in words is "eleven billion, three hundred forty-seven million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 125 193 236 250 295 386 500 590 772 965 1180 1475 1930 1993 2950 3860 3986 4825 5900 7375 7972 9650 9965 11387 14750 19300 19930 22774 24125 29500 39860 45548 48250 49825 56935 96500 99650 113870 117587 199300 227740 235174 249125 284675 384649 470348 498250 569350 587935 769298 996500 1138700 1175870 1423375 1538596 1923245 2351740 2846750 2939675 3846490 5693500 5879350 7692980 9616225 11758700 14698375 19232450 22694291 29396750 38464900 45388582 48081125 58793500 90777164 96162250 113471455 192324500 226942910 453885820 567357275 1134714550 2269429100 2836786375 5673572750 11347145500