Search a number
-
+
2011736796048 = 243371135887229
BaseRepresentation
bin11101010001100100110…
…110110110101110010000
321010022122101200212101000
4131101210312312232100
5230430014104433143
64140102405142000
7265225466424240
oct35214466665620
97108571625330
102011736796048
11706199a80431
12285a7a6ba900
131179240124c5
146d523555b20
15374e35abbd3
hex1d464db6b90

2011736796048 has 160 divisors (see below), whose sum is σ = 6657750662400. Its totient is φ = 569695279104.

The previous prime is 2011736795983. The next prime is 2011736796049. The reversal of 2011736796048 is 8406976371102.

2011736796048 is a `hidden beast` number, since 20 + 1 + 1 + 7 + 3 + 6 + 7 + 9 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2011736795985 and 2011736796003.

It is not an unprimeable number, because it can be changed into a prime (2011736796049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2601903 + ... + 3285326.

It is an arithmetic number, because the mean of its divisors is an integer number (41610941640).

Almost surely, 22011736796048 is an apocalyptic number.

2011736796048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2011736796048 is an abundant number, since it is smaller than the sum of its proper divisors (4646013866352).

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

2011736796048 is a wasteful number, since it uses less digits than its factorization.

2011736796048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887366 (or 5887354 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2011736796048 in words is "two trillion, eleven billion, seven hundred thirty-six million, seven hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 113 126 144 168 189 216 226 252 336 339 378 432 452 504 678 756 791 904 1008 1017 1356 1512 1582 1808 2034 2373 2712 3024 3051 3164 4068 4746 5424 6102 6328 7119 8136 9492 12204 12656 14238 16272 18984 21357 24408 28476 37968 42714 48816 56952 85428 113904 170856 341712 5887229 11774458 17661687 23548916 35323374 41210603 47097832 52985061 70646748 82421206 94195664 105970122 123631809 141293496 158955183 164842412 211940244 247263618 282586992 317910366 329684824 370895427 423880488 494527236 635820732 659369648 665256877 741790854 847760976 989054472 1112686281 1271641464 1330513754 1483581708 1978108944 1995770631 2225372562 2543282928 2661027508 2967163416 3991541262 4450745124 4656798139 5322055016 5934326832 5987311893 7983082524 8901490248 9313596278 10644110032 11974623786 13970394417 15966165048 17802980496 17961935679 18627192556 23949247572 27940788834 31932330096 35923871358 37254385112 41911183251 47898495144 55881577668 71847742716 74508770224 83822366502 95796990288 111763155336 125733549753 143695485432 167644733004 223526310672 251467099506 287390970864 335289466008 502934199012 670578932016 1005868398024 2011736796048