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11273700000 = 2535537579
BaseRepresentation
bin10100111111111011…
…10000001010100000
31002002200110022001110
422133331300022200
5141042031400000
65102402303320
7546241604013
oct123775601240
932080408043
1011273700000
114865789742
122227657b40
1310a8847604
1478d39937a
1545eb05850
hex29ff702a0

11273700000 has 144 divisors (see below), whose sum is σ = 36990444960. Its totient is φ = 3006240000.

The previous prime is 11273699959. The next prime is 11273700037. The reversal of 11273700000 is 737211.

11273700000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11273700000.

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 23 ways as a sum of consecutive naturals, for example, 281211 + ... + 318789.

It is an arithmetic number, because the mean of its divisors is an integer number (256878090).

Almost surely, 211273700000 is an apocalyptic number.

11273700000 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 11273700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495222480).

11273700000 is an abundant number, since it is smaller than the sum of its proper divisors (25716744960).

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

11273700000 is an frugal number, since it uses more digits than its factorization.

11273700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37617 (or 37589 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The spelling of 11273700000 in words is "eleven billion, two hundred seventy-three million, seven hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 37579 50000 60000 75000 75158 100000 112737 150000 150316 187895 225474 300000 300632 375790 450948 563685 601264 751580 901896 939475 1127370 1202528 1503160 1803792 1878950 2254740 2818425 3006320 3607584 3757900 4509480 4697375 5636850 6012640 7515800 9018960 9394750 11273700 14092125 15031600 18037920 18789500 22547400 23486875 28184250 30063200 37579000 45094800 46973750 56368500 70460625 75158000 90189600 93947500 112737000 117434375 140921250 150316000 187895000 225474000 234868750 281842500 352303125 375790000 450948000 469737500 563685000 704606250 751580000 939475000 1127370000 1409212500 1878950000 2254740000 2818425000 3757900000 5636850000 11273700000