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10816955744 = 257832232609
BaseRepresentation
bin10100001001011110…
…11010010101100000
31000220212000021201112
422010233122111200
5134123120040434
64545204522452
7532024415060
oct120457322540
930825007645
1010816955744
114650986a51
12211a6b0428
131035028c3a
147488633a0
15434983dce
hex284bda560

10816955744 has 96 divisors (see below), whose sum is σ = 24751319040. Its totient is φ = 4557699072.

The previous prime is 10816955741. The next prime is 10816955753. The reversal of 10816955744 is 44755961801.

It is a junction number, because it is equal to n+sod(n) for n = 10816955692 and 10816955701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10816955741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4144712 + ... + 4147320.

It is an arithmetic number, because the mean of its divisors is an integer number (257826240).

Almost surely, 210816955744 is an apocalyptic number.

10816955744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10816955744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375659520).

10816955744 is an abundant number, since it is smaller than the sum of its proper divisors (13934363296).

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

10816955744 is a wasteful number, since it uses less digits than its factorization.

10816955744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 10816955744 in words is "ten billion, eight hundred sixteen million, nine hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 223 224 332 446 581 664 892 1162 1328 1561 1784 2324 2609 2656 3122 3568 4648 5218 6244 7136 9296 10436 12488 18263 18509 18592 20872 24976 36526 37018 41744 49952 73052 74036 83488 129563 146104 148072 216547 259126 292208 296144 433094 518252 581807 584416 592288 866188 1036504 1163614 1515829 1732376 2073008 2327228 3031658 3464752 4072649 4146016 4654456 6063316 6929504 8145298 9308912 12126632 16290596 18617824 24253264 32581192 48289981 48506528 65162384 96579962 130324768 193159924 338029867 386319848 676059734 772639696 1352119468 1545279392 2704238936 5408477872 10816955744