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11252755000 = 23546413511
BaseRepresentation
bin10100111101011011…
…10110101000111000
31002001020001011220201
422132231312220320
5141021201130000
65100333331544
7545565560614
oct123655665070
932036034821
1011252755000
114854983423
122220636bb4
1310a43c3016
1478a6a6344
1545cd6996a
hex29eb76a38

11252755000 has 80 divisors (see below), whose sum is σ = 26413857360. Its totient is φ = 4492800000.

The previous prime is 11252754967. The next prime is 11252755021. The reversal of 11252755000 is 55725211.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11252755000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3203245 + ... + 3206755.

It is an arithmetic number, because the mean of its divisors is an integer number (330173217).

Almost surely, 211252755000 is an apocalyptic number.

11252755000 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 11252755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206928680).

11252755000 is an abundant number, since it is smaller than the sum of its proper divisors (15161102360).

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

11252755000 is an equidigital number, since it uses as much as digits as its factorization.

11252755000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 11252755000 in words is "eleven billion, two hundred fifty-two million, seven hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 641 1000 1250 1282 2500 2564 3205 3511 5000 5128 6410 7022 12820 14044 16025 17555 25640 28088 32050 35110 64100 70220 80125 87775 128200 140440 160250 175550 320500 351100 400625 438875 641000 702200 801250 877750 1602500 1755500 2194375 2250551 3205000 3511000 4388750 4501102 8777500 9002204 11252755 17555000 18004408 22505510 45011020 56263775 90022040 112527550 225055100 281318875 450110200 562637750 1125275500 1406594375 2250551000 2813188750 5626377500 11252755000