Search a number
-
+
33434163252252 = 22337157281688431
BaseRepresentation
bin1111001101000011111110…
…11011001000110000011100
311101101021102022201102202000
413212201333123020300130
513340241131243033002
6155035235332002300
710020352506402660
oct746417733106034
9141337368642660
1033434163252252
11a7203925901a4
1238bb921760390
131586a9c352b39
1483831777c8a0
153cea752b161c
hex1e687f6c8c1c

33434163252252 has 96 divisors (see below), whose sum is σ = 99695169853440. Its totient is φ = 9491773337280.

The previous prime is 33434163252211. The next prime is 33434163252253. The reversal of 33434163252252 is 25225236143433.

33434163252252 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 4 + 1 + 632 + 5 + 2 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×334341632522522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33434163252198 and 33434163252207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33434163252253) 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, 140725524 + ... + 140962907.

It is an arithmetic number, because the mean of its divisors is an integer number (1038491352640).

Almost surely, 233434163252252 is an apocalyptic number.

It is an amenable number.

33434163252252 is an abundant number, since it is smaller than the sum of its proper divisors (66261006601188).

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

33434163252252 is a wasteful number, since it uses less digits than its factorization.

33434163252252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281688608 (or 281688600 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

Adding to 33434163252252 its reverse (25225236143433), we get a palindrome (58659399395685).

The spelling of 33434163252252 in words is "thirty-three trillion, four hundred thirty-four billion, one hundred sixty-three million, two hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 157 189 252 314 378 471 628 756 942 1099 1413 1884 2198 2826 3297 4239 4396 5652 6594 8478 9891 13188 16956 19782 29673 39564 59346 118692 281688431 563376862 845065293 1126753724 1690130586 1971819017 2535195879 3380261172 3943638034 5070391758 5915457051 7605587637 7887276068 10140783516 11830914102 15211175274 17746371153 23661828204 30422350548 35492742306 44225083667 53239113459 70985484612 88450167334 106478226918 132675251001 176900334668 212956453836 265350502002 309575585669 398025753003 530701004004 619151171338 796051506006 928726757007 1194077259009 1238302342676 1592103012012 1857453514014 2388154518018 2786180271021 3714907028028 4776309036036 5572360542042 8358540813063 11144721084084 16717081626126 33434163252252