Search a number
-
+
11889516780 = 22325176196277
BaseRepresentation
bin10110001001010101…
…11010000011101100
31010200121020000212100
423010222322003230
5143322204014110
65243441335100
7600430140141
oct130452720354
933617200770
1011889516780
11505135aa29
122379937490
1311762c053b
1480b09c3c8
15498be9bc0
hex2c4aba0ec

11889516780 has 144 divisors (see below), whose sum is σ = 38254114080. Its totient is φ = 2978740224.

The previous prime is 11889516731. The next prime is 11889516781. The reversal of 11889516780 is 8761598811.

It is a happy number.

11889516780 is a `hidden beast` number, since 118 + 8 + 9 + 516 + 7 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (11889516781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891002 + ... + 1897278.

It is an arithmetic number, because the mean of its divisors is an integer number (265653570).

Almost surely, 211889516780 is an apocalyptic number.

11889516780 is a gapful number since it is divisible by the number (10) 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 11889516780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19127057040).

11889516780 is an abundant number, since it is smaller than the sum of its proper divisors (26364597300).

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

11889516780 is a wasteful number, since it uses less digits than its factorization.

11889516780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 11889516780 in words is "eleven billion, eight hundred eighty-nine million, five hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 619 765 1020 1238 1530 1857 2476 3060 3095 3714 5571 6190 6277 7428 9285 10523 11142 12380 12554 18570 18831 21046 22284 25108 27855 31385 31569 37140 37662 42092 52615 55710 56493 62770 63138 75324 94155 94707 105230 106709 111420 112986 125540 126276 157845 188310 189414 210460 213418 225972 282465 315690 320127 376620 378828 426836 473535 533545 564930 631380 640254 947070 960381 1067090 1129860 1280508 1600635 1894140 1920762 2134180 3201270 3841524 3885463 4801905 6402540 7770926 9603810 11656389 15541852 19207620 19427315 23312778 34969167 38854630 46625556 58281945 66052871 69938334 77709260 116563890 132105742 139876668 174845835 198158613 233127780 264211484 330264355 349691670 396317226 594475839 660528710 699383340 792634452 990793065 1188951678 1321057420 1981586130 2377903356 2972379195 3963172260 5944758390 11889516780