Search a number
-
+
50032131161144 = 23113723516535999
BaseRepresentation
bin10110110000001000000110…
…11001111011110000111000
320120011000200020121101000012
423120010003121323300320
523024211301034124034
6254224235503401052
713352462564656556
oct1330040331736070
9216130606541005
1050032131161144
1114a3a564784020
12574068b5b3188
1321bc018496572
14c4d7d4ad0bd6
155bb6b5908cce
hex2d810367bc38

50032131161144 has 64 divisors (see below), whose sum is σ = 105149076480000. Its totient is φ = 22117817232000.

The previous prime is 50032131160993. The next prime is 50032131161197. The reversal of 50032131161144 is 44116113123005.

50032131161144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 50032131161144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4386857 + ... + 10922855.

It is an arithmetic number, because the mean of its divisors is an integer number (1642954320000).

Almost surely, 250032131161144 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 50032131161144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52574538240000).

50032131161144 is an abundant number, since it is smaller than the sum of its proper divisors (55116945318856).

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

50032131161144 is a wasteful number, since it uses less digits than its factorization.

50032131161144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538404 (or 6538400 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 50032131161144 its reverse (44116113123005), we get a palindrome (94148244284149).

The spelling of 50032131161144 in words is "fifty trillion, thirty-two billion, one hundred thirty-one million, one hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 2351 3256 4702 9404 18808 25861 51722 86987 103444 173974 206888 347948 695896 956857 1913714 3827428 6535999 7654856 13071998 26143996 52287992 71895989 143791978 241831963 287583956 483663926 575167912 967327852 1934655704 2660151593 5320303186 10640606372 15366133649 21281212744 30732267298 61464534596 122929069192 169027470139 338054940278 568546945013 676109880556 1137093890026 1352219761112 2274187780052 4548375560104 6254016395143 12508032790286 25016065580572 50032131161144