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12513241150044 = 22319313674823999
BaseRepresentation
bin1011011000010111011101…
…0010110011001001011100
31122022020212021211221011120
42312011313102303021130
53120004104213300134
642340300441050540
72431023531552015
oct266056722631134
948266767757146
1012513241150044
113a94921456308
1214a1197186a50
136c9cbbb7378b
143139035c200c
1516a77123c649
hexb61774b325c

12513241150044 has 96 divisors (see below), whose sum is σ = 31812157440000. Its totient is φ = 3813659858880.

The previous prime is 12513241150001. The next prime is 12513241150087. The reversal of 12513241150044 is 44005114231521.

It is an interprime number because it is at equal distance from previous prime (12513241150001) and next prime (12513241150087).

It is a junction number, because it is equal to n+sod(n) for n = 12513241149987 and 12513241150014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181957 + ... + 5005955.

It is an arithmetic number, because the mean of its divisors is an integer number (331376640000).

Almost surely, 212513241150044 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 12513241150044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15906078720000).

12513241150044 is an abundant number, since it is smaller than the sum of its proper divisors (19298916289956).

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

12513241150044 is a wasteful number, since it uses less digits than its factorization.

12513241150044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824423 (or 4824421 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 12513241150044 its reverse (44005114231521), we get a palindrome (56518355381565).

The spelling of 12513241150044 in words is "twelve trillion, five hundred thirteen billion, two hundred forty-one million, one hundred fifty thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 367 372 589 734 1101 1178 1468 1767 2202 2356 3534 4404 6973 7068 11377 13946 20919 22754 27892 34131 41838 45508 68262 83676 136524 216163 432326 648489 864652 1296978 2593956 4823999 9647998 14471997 19295996 28943994 57887988 91655981 149543969 183311962 274967943 299087938 366623924 448631907 549935886 598175876 897263814 1099871772 1770407633 1794527628 2841335411 3540815266 5311222899 5682670822 7081630532 8524006233 10622445798 11365341644 17048012466 21244891596 33637745027 34096024932 54882636623 67275490054 100913235081 109765273246 134550980108 164647909869 201826470162 219530546492 329295819738 403652940324 658591639476 1042770095837 2085540191674 3128310287511 4171080383348 6256620575022 12513241150044