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10331243064 = 2333831733331
BaseRepresentation
bin10011001111100101…
…00100001000111000
3222200000001112012000
421213302210020320
5132124244234224
64425054221000
7514006055112
oct114762441070
928600045160
1010331243064
11442179890a
122003ab4760
13c88506c9c
1470014a3b2
15406ede0c9
hex267ca4238

10331243064 has 128 divisors (see below), whose sum is σ = 29220307200. Its totient is φ = 3381575040.

The previous prime is 10331243057. The next prime is 10331243149. The reversal of 10331243064 is 46034213301.

10331243064 is a `hidden beast` number, since 1 + 0 + 331 + 24 + 306 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3099879 + ... + 3103209.

It is an arithmetic number, because the mean of its divisors is an integer number (228283650).

Almost surely, 210331243064 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 10331243064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610153600).

10331243064 is an abundant number, since it is smaller than the sum of its proper divisors (18889064136).

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

10331243064 is a wasteful number, since it uses less digits than its factorization.

10331243064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10331243064 its reverse (46034213301), we get a palindrome (56365456365).

The spelling of 10331243064 in words is "ten billion, three hundred thirty-one million, two hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 173 216 249 332 346 498 519 664 692 747 996 1038 1384 1494 1557 1992 2076 2241 2988 3114 3331 4152 4482 4671 5976 6228 6662 8964 9342 9993 12456 13324 14359 17928 18684 19986 26648 28718 29979 37368 39972 43077 57436 59958 79944 86154 89937 114872 119916 129231 172308 179874 239832 258462 276473 344616 359748 387693 516924 552946 576263 719496 775386 829419 1033848 1105892 1152526 1550772 1658838 1728789 2211784 2305052 2488257 3101544 3317676 3457578 4610104 4976514 5186367 6635352 6915156 7464771 9953028 10372734 13830312 14929542 15559101 19906056 20745468 29859084 31118202 41490936 47829829 59718168 62236404 95659658 124472808 143489487 191319316 286978974 382638632 430468461 573957948 860936922 1147915896 1291405383 1721873844 2582810766 3443747688 5165621532 10331243064