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10744065144 = 2332172836221
BaseRepresentation
bin10100000000110010…
…10110110001111000
31000201202212001121200
422000121112301320
5134000440041034
64534042334200
7530151022041
oct120031266170
930652761550
1010744065144
11461382118a
1220ba1ba360
131022bb77c7
1473cccb8c8
1542d386a99
hex280656c78

10744065144 has 144 divisors (see below), whose sum is σ = 31288322520. Its totient is φ = 3329541120.

The previous prime is 10744065133. The next prime is 10744065181. The reversal of 10744065144 is 44156044701.

It is a happy number.

10744065144 is a `hidden beast` number, since 10 + 7 + 440 + 65 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10744065099 and 10744065108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1723954 + ... + 1730174.

Almost surely, 210744065144 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 10744065144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644161260).

10744065144 is an abundant number, since it is smaller than the sum of its proper divisors (20544257376).

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

10744065144 is a wasteful number, since it uses less digits than its factorization.

10744065144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10744065144 in words is "ten billion, seven hundred forty-four million, sixty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 83 102 136 153 166 204 249 289 306 332 408 498 578 612 664 747 867 996 1156 1224 1411 1494 1734 1992 2312 2601 2822 2988 3468 4233 5202 5644 5976 6221 6936 8466 10404 11288 12442 12699 16932 18663 20808 23987 24884 25398 33864 37326 47974 49768 50796 55989 71961 74652 95948 101592 105757 111978 143922 149304 191896 211514 215883 223956 287844 317271 423028 431766 447912 516343 575688 634542 846056 863532 951813 1032686 1269084 1549029 1727064 1797869 1903626 2065372 2538168 3098058 3595738 3807252 4130744 4647087 5393607 6196116 7191476 7614504 8777831 9294174 10787214 12392232 14382952 16180821 17555662 18588348 21574428 26333493 32361642 35111324 37176696 43148856 52666986 64723284 70222648 79000479 105333972 129446568 149223127 158000958 210667944 298446254 316001916 447669381 596892508 632003832 895338762 1193785016 1343008143 1790677524 2686016286 3581355048 5372032572 10744065144