Search a number
-
+
354136561002 = 233710785910193
BaseRepresentation
bin1010010011101000010…
…11110001010101101010
31020212002101102021022000
411021310023301111222
521300232424423002
6430404343311430
734404556046610
oct5116413612552
91225071367260
10354136561002
11127208946904
125877374b576
1327519894c63
14131d6db36b0
15932a2a161c
hex52742f156a

354136561002 has 128 divisors (see below), whose sum is σ = 908945971200. Its totient is φ = 100109737728.

The previous prime is 354136561001. The next prime is 354136561019. The reversal of 354136561002 is 200165631453.

354136561002 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 36 + 5 + 610 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (354136561001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34738018 + ... + 34748210.

It is an arithmetic number, because the mean of its divisors is an integer number (7101140400).

Almost surely, 2354136561002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354136561002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454472985600).

354136561002 is an abundant number, since it is smaller than the sum of its proper divisors (554809410198).

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

354136561002 is a wasteful number, since it uses less digits than its factorization.

354136561002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 354136561002 in words is "three hundred fifty-four billion, one hundred thirty-six million, five hundred sixty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 107 126 189 214 321 378 642 749 859 963 1498 1718 1926 2247 2577 2889 4494 5154 5778 6013 6741 7731 10193 12026 13482 15462 18039 20223 20386 23193 30579 36078 40446 46386 54117 61158 71351 91737 91913 108234 142702 162351 183474 183826 214053 275211 275739 324702 428106 550422 551478 642159 643391 827217 1090651 1284318 1286782 1654434 1926477 1930173 2181302 2481651 3271953 3852954 3860346 4963302 5790519 6543906 7634557 8755787 9815859 11581038 15269114 17371557 17511574 19631718 22903671 26267361 29447577 34743114 45807342 52534722 58895154 61290509 68711013 78802083 122581018 137422026 157604166 183871527 206133039 236406249 367743054 412266078 472812498 551614581 936869209 1103229162 1654843743 1873738418 2810607627 3309687486 5621215254 6558084463 8431822881 13116168926 16863645762 19674253389 25295468643 39348506778 50590937286 59022760167 118045520334 177068280501 354136561002