Search a number
-
+
11731730747264 = 271113163604543
BaseRepresentation
bin1010101010111000000110…
…1001001100111110000000
31112112112122111011001022222
42222232001221030332000
53014203041032403024
640541252132550212
72320406140001153
oct252560151147600
945475574131288
1011731730747264
113813443185680
121395830a82368
136713b36a9798
142c7b66ad1c9a
151552812b485e
hexaab81a4cf80

11731730747264 has 64 divisors (see below), whose sum is σ = 25691147412480. Its totient is φ = 5291897894400.

The previous prime is 11731730747221. The next prime is 11731730747291. The reversal of 11731730747264 is 46274703713711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31617824 + ... + 31986719.

It is an arithmetic number, because the mean of its divisors is an integer number (401424178320).

Almost surely, 211731730747264 is an apocalyptic number.

It is an amenable number.

11731730747264 is an abundant number, since it is smaller than the sum of its proper divisors (13959416665216).

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

11731730747264 is a wasteful number, since it uses less digits than its factorization.

11731730747264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63604699 (or 63604687 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 53.

The spelling of 11731730747264 in words is "eleven trillion, seven hundred thirty-one billion, seven hundred thirty million, seven hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 262 352 524 704 1048 1408 1441 2096 2882 4192 5764 8384 11528 16768 23056 46112 92224 184448 63604543 127209086 254418172 508836344 699649973 1017672688 1399299946 2035345376 2798599892 4070690752 5597199784 8141381504 8332195133 11194399568 16664390266 22388799136 33328780532 44777598272 66657561064 89555196544 91654146463 133315122128 183308292926 266630244256 366616585852 533260488512 733233171704 1066520977024 1466466343408 2932932686816 5865865373632 11731730747264