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11152424000 = 26532360611
BaseRepresentation
bin10100110001011110…
…00111110001000000
31001210020020211122202
422120233013301000
5140320010032000
65042351052332
7543240016454
oct123057076100
931706224582
1011152424000
114803286243
1221b2b110a8
131089694973
1477b22a664
1545414bdd5
hex298bc7c40

11152424000 has 112 divisors (see below), whose sum is σ = 28820278656. Its totient is φ = 4266944000.

The previous prime is 11152423993. The next prime is 11152424009. The reversal of 11152424000 is 42425111.

It is a happy number.

It is a super-2 number, since 2×111524240002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11152424009) 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, 153695 + ... + 214305.

Almost surely, 211152424000 is an apocalyptic number.

11152424000 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 11152424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410139328).

11152424000 is an abundant number, since it is smaller than the sum of its proper divisors (17667854656).

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

11152424000 is an equidigital number, since it uses as much as digits as its factorization.

11152424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60661 (or 60641 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11152424000 its reverse (42425111), we get a palindrome (11194849111).

The spelling of 11152424000 in words is "eleven billion, one hundred fifty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 736 800 920 1000 1150 1472 1600 1840 2000 2300 2875 3680 4000 4600 5750 7360 8000 9200 11500 18400 23000 36800 46000 60611 92000 121222 184000 242444 303055 484888 606110 969776 1212220 1394053 1515275 1939552 2424440 2788106 3030550 3879104 4848880 5576212 6061100 6970265 7576375 9697760 11152424 12122200 13940530 15152750 19395520 22304848 24244400 27881060 30305500 34851325 44609696 48488800 55762120 60611000 69702650 89219392 96977600 111524240 121222000 139405300 174256625 223048480 242444000 278810600 348513250 446096960 484888000 557621200 697026500 1115242400 1394053000 2230484800 2788106000 5576212000 11152424000