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11152032000 = 28353116167
BaseRepresentation
bin10100110001011011…
…01000000100000000
31001210012111220221020
422120231220010000
5140314410011000
65042334425440
7543233464554
oct123055500400
931705456836
1011152032000
11480303877a
1221b2962280
131089588405
1477b167864
154540c0ba0
hex298b68100

11152032000 has 144 divisors (see below), whose sum is σ = 37041793152. Its totient is φ = 2973849600.

The previous prime is 11152031993. The next prime is 11152032029. The reversal of 11152032000 is 23025111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37917 + ... + 154083.

Almost surely, 211152032000 is an apocalyptic number.

11152032000 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 11152032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520896576).

11152032000 is an abundant number, since it is smaller than the sum of its proper divisors (25889761152).

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

11152032000 is an equidigital number, since it uses as much as digits as its factorization.

11152032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116201 (or 116177 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 11152032000 its reverse (23025111), we get a palindrome (11175057111).

The spelling of 11152032000 in words is "eleven billion, one hundred fifty-two million, thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 116167 232334 348501 464668 580835 697002 929336 1161670 1394004 1742505 1858672 2323340 2788008 2904175 3485010 3717344 4646680 5576016 5808350 6970020 7434688 8712525 9293360 11152032 11616700 13940040 14520875 14869376 17425050 18586720 22304064 23233400 27880080 29041750 29738752 34850100 37173440 43562625 44608128 46466800 55760160 58083500 69700200 74346880 87125250 89216256 92933600 111520320 116167000 139400400 148693760 174250500 185867200 223040640 232334000 278800800 348501000 371734400 446081280 464668000 557601600 697002000 743468800 929336000 1115203200 1394004000 1858672000 2230406400 2788008000 3717344000 5576016000 11152032000