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19394328756 = 223111721633119
BaseRepresentation
bin10010000011111111…
…011111100010110100
31212001121211222111110
4102003333133202310
5304204422010011
612524251435020
71254416034345
oct220377374264
955047758443
1019394328756
118252658280
123913155a70
131aa107489a
14d1daa40cc
157879ccba6
hex483fdf8b4

19394328756 has 144 divisors (see below), whose sum is σ = 52780815360. Its totient is φ = 5495662080.

The previous prime is 19394328749. The next prime is 19394328781. The reversal of 19394328756 is 65782349391.

It is a super-2 number, since 2×193943287562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19394328696 and 19394328705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6216565 + ... + 6219683.

It is an arithmetic number, because the mean of its divisors is an integer number (366533440).

Almost surely, 219394328756 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 19394328756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26390407680).

19394328756 is an abundant number, since it is smaller than the sum of its proper divisors (33386486604).

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

19394328756 is a wasteful number, since it uses less digits than its factorization.

19394328756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3315 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 19394328756 in words is "nineteen billion, three hundred ninety-four million, three hundred twenty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 163 187 204 289 326 374 489 561 578 652 748 867 978 1122 1156 1734 1793 1956 2244 2771 3119 3179 3468 3586 5379 5542 6238 6358 7172 8313 9357 9537 10758 11084 12476 12716 16626 18714 19074 21516 30481 33252 34309 37428 38148 47107 53023 60962 68618 91443 94214 102927 106046 121924 137236 141321 159069 182886 188428 205854 212092 282642 318138 365772 411708 508397 518177 565284 583253 636276 901391 1016794 1036354 1166506 1525191 1554531 1749759 1802782 2033588 2072708 2333012 2704173 3050382 3109062 3499518 3605564 5408346 5592367 6100764 6218124 6999036 8642749 9915301 10816692 11184734 16777101 17285498 19830602 22369468 25928247 29745903 33554202 34570996 39661204 51856494 59491806 67108404 95070239 103712988 118983612 146926733 190140478 285210717 293853466 380280956 440780199 570421434 587706932 881560398 1140842868 1616194063 1763120796 3232388126 4848582189 6464776252 9697164378 19394328756