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11819929728 = 273175930689
BaseRepresentation
bin10110000001000010…
…11101000010000000
31010111202021122101010
423000201131002000
5143201400222403
65232514040520
7565623513345
oct130041350200
933452248333
1011819929728
115016051172
12235a579140
131164a67979
14801b467cc
15492a51603
hex2c085d080

11819929728 has 128 divisors (see below), whose sum is σ = 33808104000. Its totient is φ = 3645243392.

The previous prime is 11819929727. The next prime is 11819929739. The reversal of 11819929728 is 82792991811.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11819929727) 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, 369808 + ... + 400496.

Almost surely, 211819929728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11819929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904052000).

11819929728 is an abundant number, since it is smaller than the sum of its proper divisors (21988174272).

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

11819929728 is a wasteful number, since it uses less digits than its factorization.

11819929728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30782 (or 30770 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 57.

The spelling of 11819929728 in words is "eleven billion, eight hundred nineteen million, nine hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 64 68 96 102 118 128 136 177 192 204 236 272 354 384 408 472 544 708 816 944 1003 1088 1416 1632 1888 2006 2176 2832 3009 3264 3776 4012 5664 6018 6528 7552 8024 11328 12036 16048 22656 24072 30689 32096 48144 61378 64192 92067 96288 122756 128384 184134 192576 245512 368268 385152 491024 521713 736536 982048 1043426 1473072 1565139 1810651 1964096 2086852 2946144 3130278 3621302 3928192 4173704 5431953 5892288 6260556 7242604 8347408 10863906 11784576 12521112 14485208 16694816 21727812 25042224 28970416 30781067 33389632 43455624 50084448 57940832 61562134 66779264 86911248 92343201 100168896 115881664 123124268 173822496 184686402 200337792 231763328 246248536 347644992 369372804 492497072 695289984 738745608 984994144 1477491216 1969988288 2954982432 3939976576 5909964864 11819929728