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7664341212 = 223211292113163
BaseRepresentation
bin1110010001101010…
…01001000011011100
3201210010210212121100
413020311021003130
5111144032404322
63304305233100
7360633553053
oct71065110334
921703725540
107664341212
113283358aa0
12159a932790
13951b3b758
14529c9139a
152ecce5dac
hex1c8d490dc

7664341212 has 144 divisors (see below), whose sum is σ = 21974359680. Its totient is φ = 2231107200.

The previous prime is 7664341211. The next prime is 7664341247. The reversal of 7664341212 is 2121434667.

7664341212 is a `hidden beast` number, since 7 + 6 + 6 + 434 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7664341211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421543 + ... + 2424705.

It is an arithmetic number, because the mean of its divisors is an integer number (152599720).

Almost surely, 27664341212 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 7664341212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10987179840).

7664341212 is an abundant number, since it is smaller than the sum of its proper divisors (14310018468).

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

7664341212 is a wasteful number, since it uses less digits than its factorization.

7664341212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3419 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7664341212 is about 87546.2232880437. The cubic root of 7664341212 is about 1971.6278480799.

Adding to 7664341212 its reverse (2121434667), we get a palindrome (9785775879).

It can be divided in two parts, 76643 and 41212, that added together give a triangular number (117855 = T485).

The spelling of 7664341212 in words is "seven billion, six hundred sixty-four million, three hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 211 261 319 348 396 422 522 633 638 844 957 1044 1266 1276 1899 1914 2321 2532 2871 3163 3798 3828 4642 5742 6119 6326 6963 7596 9284 9489 11484 12238 12652 13926 18357 18978 20889 24476 27852 28467 34793 36714 37956 41778 55071 56934 67309 69586 73428 83556 91727 104379 110142 113868 134618 139172 183454 201927 208758 220284 269236 275181 313137 366908 403854 417516 550362 605781 626274 667393 807708 825543 1008997 1100724 1211562 1252548 1334786 1651086 2002179 2017994 2423124 2669572 3026991 3302172 4004358 4035988 6006537 6053982 7341323 8008716 9080973 12013074 12107964 14682646 18161946 19354397 22023969 24026148 29365292 36323892 38708794 44047938 58063191 66071907 77417588 88095876 116126382 132143814 174189573 212898367 232252764 264287628 348379146 425796734 638695101 696758292 851593468 1277390202 1916085303 2554780404 3832170606 7664341212