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11338019136 = 263291921419
BaseRepresentation
bin10101000111100110…
…00111000101000000
31002021011111001022200
422203303013011000
5141210013103021
65113021033200
7550652400243
oct124363070500
932234431280
1011338019136
11489901a654
1222450b5800
1310b8c77482
14797b3d25a
154655ad126
hex2a3cc7140

11338019136 has 84 divisors (see below), whose sum is σ = 32535266400. Its totient is φ = 3775051008.

The previous prime is 11338019111. The next prime is 11338019153. The reversal of 11338019136 is 63191083311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11338019136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 518635 + ... + 540053.

It is an arithmetic number, because the mean of its divisors is an integer number (387324600).

Almost surely, 211338019136 is an apocalyptic number.

11338019136 is a gapful number since it is divisible by the number (16) 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 11338019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16267633200).

11338019136 is an abundant number, since it is smaller than the sum of its proper divisors (21197247264).

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

11338019136 is a wasteful number, since it uses less digits than its factorization.

11338019136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22356 (or 22343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 11338019136 in words is "eleven billion, three hundred thirty-eight million, nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 919 1838 2757 3676 5514 7352 8271 11028 14704 16542 21419 22056 29408 33084 42838 44112 58816 64257 66168 85676 88224 128514 132336 171352 176448 192771 257028 264672 342704 385542 514056 529344 685408 771084 1028112 1370816 1542168 2056224 3084336 4112448 6168672 12337344 19684061 39368122 59052183 78736244 118104366 157472488 177156549 236208732 314944976 354313098 472417464 629889952 708626196 944834928 1259779904 1417252392 1889669856 2834504784 3779339712 5669009568 11338019136