Search a number
-
+
1194505648128 = 21132134985083
BaseRepresentation
bin10001011000011110000…
…101011011100000000000
311020012020011010010010200
4101120132011123200000
5124032321421220003
62312425345325200
7152204651324322
oct21303605334000
94205204103120
101194505648128
11420650330221
12173605636800
1388845200b20
1441b58941612
15211126846a3
hex1161e15b800

1194505648128 has 144 divisors (see below), whose sum is σ = 3715333254360. Its totient is φ = 367540125696.

The previous prime is 1194505648067. The next prime is 1194505648129. The reversal of 1194505648128 is 8218465054911.

1194505648128 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 50 + 564 + 8 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1194505648129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252926 + ... + 2732157.

Almost surely, 21194505648128 is an apocalyptic number.

1194505648128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1194505648128 is an abundant number, since it is smaller than the sum of its proper divisors (2520827606232).

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

1194505648128 is a wasteful number, since it uses less digits than its factorization.

1194505648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985124 (or 4985101 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1194505648128 in words is "one trillion, one hundred ninety-four billion, five hundred five million, six hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 59904 79872 119808 239616 4985083 9970166 14955249 19940332 29910498 39880664 44865747 59820996 64806079 79761328 89731494 119641992 129612158 159522656 179462988 194418237 239283984 259224316 319045312 358925976 388836474 478567968 518448632 583254711 638090624 717851952 777672948 957135936 1036897264 1166509422 1276181248 1435703904 1555345896 1914271872 2073794528 2333018844 2552362496 2871407808 3110691792 3828543744 4147589056 4666037688 5104724992 5742815616 6221383584 7657087488 8295178112 9332075376 10209449984 11485631232 12442767168 15314174976 16590356224 18664150752 22971262464 24885534336 30628349952 33180712448 37328301504 45942524928 49771068672 66361424896 74656603008 91885049856 99542137344 132722849792 149313206016 199084274688 298626412032 398168549376 597252824064 1194505648128