Search a number
-
+
11744524016 = 2437891012207
BaseRepresentation
bin10101111000000011…
…10011011011110000
31010022111101122011222
422330001303123300
5143023044232031
65221221524212
7564016543541
oct127401633360
933274348158
1011744524016
114a875287a5
122339273668
1311522557c4
147d5b184c8
1548b108e7b
hex2bc0736f0

11744524016 has 80 divisors (see below), whose sum is σ = 23877400320. Its totient is φ = 5590886400.

The previous prime is 11744524007. The next prime is 11744524031. The reversal of 11744524016 is 61042544711.

11744524016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5320385 + ... + 5322591.

It is an arithmetic number, because the mean of its divisors is an integer number (298467504).

Almost surely, 211744524016 is an apocalyptic number.

11744524016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11744524016 is an abundant number, since it is smaller than the sum of its proper divisors (12132876304).

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

11744524016 is a wasteful number, since it uses less digits than its factorization.

11744524016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 11744524016 in words is "eleven billion, seven hundred forty-four million, five hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 37 74 89 101 148 178 202 296 356 404 592 712 808 1424 1616 2207 3293 3737 4414 6586 7474 8828 8989 13172 14948 17656 17978 26344 29896 35312 35956 52688 59792 71912 81659 143824 163318 196423 222907 326636 332593 392846 445814 653272 665186 785692 891628 1306544 1330372 1571384 1783256 2660744 3142768 3566512 5321488 7267651 8247559 14535302 16495118 19838723 29070604 32990236 39677446 58141208 65980472 79354892 116282416 131960944 158709784 317419568 734032751 1468065502 2936131004 5872262008 11744524016