Search a number
-
+
210680674344 = 233271992100589
BaseRepresentation
bin1100010000110110001…
…0111111100000101000
3202010210200212011021200
43010031202333200220
511422433223034334
6240441350004200
721135602120160
oct3041542774050
9663720764250
10210680674344
1181392825998
12349b8646660
1316b3704051a
14a2a87cb5a0
155730e88799
hex310d8bf828

210680674344 has 96 divisors (see below), whose sum is σ = 655384080000. Its totient is φ = 59891965056.

The previous prime is 210680674343. The next prime is 210680674357. The reversal of 210680674344 is 443476086012.

It is a self number, because there is not a number n which added to its sum of digits gives 210680674344.

It is not an unprimeable number, because it can be changed into a prime (210680674343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949999 + ... + 1150590.

It is an arithmetic number, because the mean of its divisors is an integer number (6826917500).

Almost surely, 2210680674344 is an apocalyptic number.

210680674344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210680674344 is an abundant number, since it is smaller than the sum of its proper divisors (444703405656).

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

210680674344 is a wasteful number, since it uses less digits than its factorization.

210680674344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100807 (or 2100800 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 210680674344 in words is "two hundred ten billion, six hundred eighty million, six hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 199 252 398 504 597 796 1194 1393 1592 1791 2388 2786 3582 4179 4776 5572 7164 8358 11144 12537 14328 16716 25074 33432 50148 100296 2100589 4201178 6301767 8402356 12603534 14704123 16804712 18905301 25207068 29408246 37810602 44112369 50414136 58816492 75621204 88224738 117632984 132337107 151242408 176449476 264674214 352898952 418017211 529348428 836034422 1058696856 1254051633 1672068844 2508103266 2926120477 3344137688 3762154899 5016206532 5852240954 7524309798 8778361431 10032413064 11704481908 15048619596 17556722862 23408963816 26335084293 30097239192 35113445724 52670168586 70226891448 105340337172 210680674344