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11338376112 = 24367138869
BaseRepresentation
bin10101000111101000…
…11110001110110000
31002021012011012000000
422203310132032300
5141210111013422
65113032430000
7550655415060
oct124364361660
932235135000
1011338376112
114899243878
122245248300
1310b9070abb
14797bd33a0
1546562dcac
hex2a3d1e3b0

11338376112 has 140 divisors (see below), whose sum is σ = 37642657680. Its totient is φ = 3239512704.

The previous prime is 11338376051. The next prime is 11338376143. The reversal of 11338376112 is 21167383311.

11338376112 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 37 + 611 + 2 = 666.

11338376112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 27 ways as a sum of consecutive naturals, for example, 12214 + ... + 151082.

Almost surely, 211338376112 is an apocalyptic number.

11338376112 is a gapful number since it is divisible by the number (12) 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 11338376112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821328840).

11338376112 is an abundant number, since it is smaller than the sum of its proper divisors (26304281568).

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

11338376112 is an equidigital number, since it uses as much as digits as its factorization.

11338376112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138902 (or 138881 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 11338376112 in words is "eleven billion, three hundred thirty-eight million, three hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 40824 81648 138869 277738 416607 555476 833214 972083 1110952 1249821 1666428 1944166 2221904 2499642 2916249 3332856 3749463 3888332 4999284 5832498 6665712 7498926 7776664 8748747 9998568 11248389 11664996 14997852 15553328 17497494 19997136 22496778 23329992 26246241 29995704 33745167 34994988 44993556 46659984 52492482 59991408 67490334 69989976 78738723 89987112 101235501 104984964 134980668 139979952 157477446 179974224 202471002 209969928 236216169 269961336 314954892 404942004 419939856 472432338 539922672 629909784 708648507 809884008 944864676 1259819568 1417297014 1619768016 1889729352 2834594028 3779458704 5669188056 11338376112