Search a number
-
+
49749276168 = 23331273315479
BaseRepresentation
bin101110010101010010…
…011011011000001000
311202102010001002012000
4232111102123120020
51303341303314133
634504323351000
73410555604324
oct562522333010
9152363032160
1049749276168
111a10a195579
129784b22460
1348cab35a27
14259d306984
15146286b413
hexb9549b608

49749276168 has 128 divisors (see below), whose sum is σ = 139726848000. Its totient is φ = 16399817280.

The previous prime is 49749276151. The next prime is 49749276169. The reversal of 49749276168 is 86167294794.

49749276168 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 9 + 2 + 7 + 616 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (49749276169) 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, 9077253 + ... + 9082731.

It is an arithmetic number, because the mean of its divisors is an integer number (1091616000).

Almost surely, 249749276168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49749276168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69863424000).

49749276168 is an abundant number, since it is smaller than the sum of its proper divisors (89977571832).

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

49749276168 is a wasteful number, since it uses less digits than its factorization.

49749276168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5942 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 49749276168 in words is "forty-nine billion, seven hundred forty-nine million, two hundred seventy-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 331 381 508 662 762 993 1016 1143 1324 1524 1986 2286 2648 2979 3048 3429 3972 4572 5479 5958 6858 7944 8937 9144 10958 11916 13716 16437 17874 21916 23832 27432 32874 35748 42037 43832 49311 65748 71496 84074 98622 126111 131496 147933 168148 197244 252222 295866 336296 378333 394488 504444 591732 695833 756666 1008888 1134999 1183464 1391666 1513332 1813549 2087499 2269998 2783332 3026664 3627098 4174998 4539996 5440647 5566664 6262497 7254196 8349996 9079992 10881294 12524994 14508392 16321941 16699992 18787491 21762588 25049988 32643882 37574982 43525176 48965823 50099976 65287764 75149964 97931646 130575528 150299928 195863292 230320723 391726584 460641446 690962169 921282892 1381924338 1842565784 2072886507 2763848676 4145773014 5527697352 6218659521 8291546028 12437319042 16583092056 24874638084 49749276168