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11740000000 = 2857587
BaseRepresentation
bin10101110111100001…
…00010111100000000
31010022011212210101211
422323300202330000
5143020420000000
65220540535504
7563633232151
oct127360427400
933264783354
1011740000000
114a84a18843
122337851594
131151330581
147d529b928
1548aa137ba
hex2bbc22f00

11740000000 has 144 divisors (see below), whose sum is σ = 29342503008. Its totient is φ = 4688000000.

The previous prime is 11739999977. The next prime is 11740000001. The reversal of 11740000000 is 4711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11740000001) 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, 19999707 + ... + 20000293.

It is an arithmetic number, because the mean of its divisors is an integer number (203767382).

Almost surely, 211740000000 is an apocalyptic number.

11740000000 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 11740000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671251504).

11740000000 is an abundant number, since it is smaller than the sum of its proper divisors (17602503008).

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

11740000000 is an frugal number, since it uses more digits than its factorization.

11740000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

Adding to 11740000000 its reverse (4711), we get a palindrome (11740004711).

The spelling of 11740000000 in words is "eleven billion, seven hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 587 625 640 800 1000 1174 1250 1280 1600 2000 2348 2500 2935 3125 3200 4000 4696 5000 5870 6250 6400 8000 9392 10000 11740 12500 14675 15625 16000 18784 20000 23480 25000 29350 31250 32000 37568 40000 46960 50000 58700 62500 73375 75136 78125 80000 93920 100000 117400 125000 146750 150272 156250 160000 187840 200000 234800 250000 293500 312500 366875 375680 400000 469600 500000 587000 625000 733750 751360 800000 939200 1000000 1174000 1250000 1467500 1834375 1878400 2000000 2348000 2500000 2935000 3668750 3756800 4000000 4696000 5000000 5870000 7337500 9171875 9392000 10000000 11740000 14675000 18343750 18784000 20000000 23480000 29350000 36687500 45859375 46960000 58700000 73375000 91718750 93920000 117400000 146750000 183437500 234800000 293500000 366875000 469600000 587000000 733750000 1174000000 1467500000 2348000000 2935000000 5870000000 11740000000