Search a number
-
+
33045045534112 = 25191491792037809
BaseRepresentation
bin1111000001101111001100…
…01100110101110110100000
311100000002001001002021001111
413200313212030311312200
513312402223124042422
6154140403452513104
76650266014356143
oct740674614656640
9140002031067044
1033045045534112
11a5903637a3277
123858426a7b794
131559199433a41
148235629a605a
153c489de52a77
hex1e0de6335da0

33045045534112 has 96 divisors (see below), whose sum is σ = 69326296200000. Its totient is φ = 15460996018176.

The previous prime is 33045045534107. The next prime is 33045045534187. The reversal of 33045045534112 is 21143554054033.

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 15 ways as a sum of consecutive naturals, for example, 15197064 + ... + 17234872.

It is an arithmetic number, because the mean of its divisors is an integer number (722148918750).

Almost surely, 233045045534112 is an apocalyptic number.

33045045534112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33045045534112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34663148100000).

33045045534112 is an abundant number, since it is smaller than the sum of its proper divisors (36281250665888).

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

33045045534112 is a wasteful number, since it uses less digits than its factorization.

33045045534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038166 (or 2038158 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 33045045534112 its reverse (21143554054033), we get a palindrome (54188599588145).

The spelling of 33045045534112 in words is "thirty-three trillion, forty-five billion, forty-five million, five hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 149 152 179 298 304 358 596 608 716 1192 1432 2384 2831 2864 3401 4768 5662 5728 6802 11324 13604 22648 26671 27208 45296 53342 54416 90592 106684 108832 213368 426736 506749 853472 1013498 2026996 2037809 4053992 4075618 8107984 8151236 16215968 16302472 32604944 38718371 65209888 77436742 154873484 303633541 309746968 364767811 607267082 619493936 729535622 1214534164 1238987872 1459071244 2429068328 2918142488 4858136656 5769037279 5836284976 6930588409 9716273312 11538074558 11672569952 13861176818 23076149116 27722353636 46152298232 54350403839 55444707272 92304596464 108700807678 110889414544 184609192928 217401615356 221778829088 434803230712 869606461424 1032657672941 1739212922848 2065315345882 4130630691764 8261261383528 16522522767056 33045045534112