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189428634756 = 22321742512
BaseRepresentation
bin1011000001101011010…
…0111001010010000100
3200002221121101200121100
42300122310321102010
511100422212303011
6223004453020100
716454134554114
oct2603264712204
9602847350540
10189428634756
1173377587009
1230867324630
1314b2b15087a
14925010b044
154dda352d56
hex2c1ad39484

189428634756 has 135 divisors (see below), whose sum is σ = 510795237043. Its totient is φ = 59191824000.

The previous prime is 189428634749. The next prime is 189428634757. The reversal of 189428634756 is 657436824981.

The square root of 189428634756 is 435234.

It is a perfect power (a square), and thus also a powerful number.

189428634756 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 286 + 347 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58789761156 + 130638873600 = 242466^2 + 361440^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 189428634693 and 189428634702.

It is not an unprimeable number, because it can be changed into a prime (189428634757) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 754695631 + ... + 754695881.

Almost surely, 2189428634756 is an apocalyptic number.

189428634756 is the 435234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189428634756

189428634756 is an abundant number, since it is smaller than the sum of its proper divisors (321366602287).

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

189428634756 is an frugal number, since it uses more digits than its factorization.

189428634756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 273 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 189428634756 in words is "one hundred eighty-nine billion, four hundred twenty-eight million, six hundred thirty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 251 289 306 502 578 612 753 867 1004 1156 1506 1734 2259 2601 3012 3468 4267 4518 4913 5202 8534 9036 9826 10404 12801 14739 17068 19652 25602 29478 38403 44217 51204 58956 63001 72539 76806 83521 88434 126002 145078 153612 167042 176868 189003 217617 250563 252004 290156 334084 378006 435234 501126 567009 652851 751689 756012 870468 1002252 1071017 1134018 1233163 1305702 1503378 2142034 2268036 2466326 2611404 3006756 3213051 3699489 4284068 4932652 6426102 7398978 9639153 11098467 12852204 14797956 18207289 19278306 20963771 22196934 36414578 38556612 41927542 44393868 54621867 62891313 72829156 83855084 109243734 125782626 163865601 188673939 218487468 251565252 309523913 327731202 377347878 619047826 655462404 754695756 928571739 1238095652 1857143478 2785715217 3714286956 5261906521 5571430434 10523813042 11142860868 15785719563 21047626084 31571439126 47357158689 63142878252 94714317378 189428634756