Search a number
-
+
11740053696 = 263710781637
BaseRepresentation
bin10101110111100001…
…10000000011000000
31010022011222112001120
422323300300003000
5143020423204241
65220542032240
7563633544540
oct127360600300
933264875046
1011740053696
114a84a55118
122337878680
13115134bb47
147d52b3320
1548aa24666
hex2bbc300c0

11740053696 has 112 divisors (see below), whose sum is σ = 35831897856. Its totient is φ = 3322911744.

The previous prime is 11740053671. The next prime is 11740053709. The reversal of 11740053696 is 69635004711.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102990 + ... + 184626.

Almost surely, 211740053696 is an apocalyptic number.

11740053696 is a gapful number since it is divisible by the number (16) 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 11740053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915948928).

11740053696 is an abundant number, since it is smaller than the sum of its proper divisors (24091844160).

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

11740053696 is a wasteful number, since it uses less digits than its factorization.

11740053696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81766 (or 81756 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 11740053696 in words is "eleven billion, seven hundred forty million, fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 168 192 214 224 321 336 428 448 642 672 749 856 1284 1344 1498 1712 2247 2568 2996 3424 4494 5136 5992 6848 8988 10272 11984 17976 20544 23968 35952 47936 71904 81637 143808 163274 244911 326548 489822 571459 653096 979644 1142918 1306192 1714377 1959288 2285836 2612384 3428754 3918576 4571672 5224768 6857508 7837152 8735159 9143344 13715016 15674304 17470318 18286688 26205477 27430032 34940636 36573376 52410954 54860064 61146113 69881272 104821908 109720128 122292226 139762544 183438339 209643816 244584452 279525088 366876678 419287632 489168904 559050176 733753356 838575264 978337808 1467506712 1677150528 1956675616 2935013424 3913351232 5870026848 11740053696