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11730189636 = 22341125472
BaseRepresentation
bin10101110110010110…
…00111110101000100
31010021111102101010000
422323023013311010
5143010412032021
65215550401300
7563453652414
oct127313076504
933244371100
1011730189636
114a7a428100
122334500230
13114c2a7119
147d3c66644
15489c26b26
hex2bb2c7d44

11730189636 has 135 divisors (see below), whose sum is σ = 33767925807. Its totient is φ = 3548104560.

The previous prime is 11730189629. The next prime is 11730189637. The reversal of 11730189636 is 63698103711.

The square root of 11730189636 is 108306.

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

11730189636 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 0 + 1 + 8 + 9 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11730189591 and 11730189600.

It is not an unprimeable number, because it can be changed into a prime (11730189637) 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, 21444315 + ... + 21444861.

Almost surely, 211730189636 is an apocalyptic number.

11730189636 is the 108306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11730189636

11730189636 is an abundant number, since it is smaller than the sum of its proper divisors (22037736171).

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

11730189636 is an equidigital number, since it uses as much as digits as its factorization.

11730189636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11730189636 in words is "eleven billion, seven hundred thirty million, one hundred eighty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 547 594 726 891 1089 1094 1188 1452 1641 1782 2178 2188 3267 3282 3564 4356 4923 6017 6534 6564 9801 9846 12034 13068 14769 18051 19602 19692 24068 29538 36102 39204 44307 54153 59076 66187 72204 88614 108306 132374 162459 177228 198561 216612 264748 299209 324918 397122 487377 595683 598418 649836 794244 897627 974754 1191366 1196836 1787049 1795254 1949508 2382732 2692881 3291299 3574098 3590508 5361147 5385762 6582598 7148196 8078643 9873897 10722294 10771524 13165196 16157286 19747794 21444588 24235929 29621691 32314572 36204289 39495588 48471858 59243382 72408578 88865073 96943716 108612867 118486764 144817156 177730146 217225734 266595219 325838601 355460292 434451468 533190438 651677202 977515803 1066380876 1303354404 1955031606 2932547409 3910063212 5865094818 11730189636