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10345324544 = 2133973181
BaseRepresentation
bin10011010001010000…
…10010000000000000
3222200222112221100022
421220220102000000
5132141400341134
64430320113012
7514236544022
oct115050220000
928628487308
1010345324544
1144297364a5
122008765768
13c8b3c7519
14701d74012
1540837152e
hex268a12000

10345324544 has 56 divisors (see below), whose sum is σ = 20748020988. Its totient is φ = 5158010880.

The previous prime is 10345324529. The next prime is 10345324589. The reversal of 10345324544 is 44542354301.

It can be written as a sum of positive squares in 2 ways, for example, as 10057682944 + 287641600 = 100288^2 + 16960^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3250634 + ... + 3253814.

Almost surely, 210345324544 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 10345324544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10374010494).

10345324544 is an abundant number, since it is smaller than the sum of its proper divisors (10402696444).

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

10345324544 is an frugal number, since it uses more digits than its factorization.

10345324544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 10345324544 its reverse (44542354301), we get a palindrome (54887678845).

The spelling of 10345324544 in words is "ten billion, three hundred forty-five million, three hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 1024 1588 2048 3176 3181 4096 6352 6362 8192 12704 12724 25408 25448 50816 50896 101632 101792 203264 203584 406528 407168 813056 814336 1262857 1626112 1628672 2525714 3252224 3257344 5051428 6514688 10102856 13029376 20205712 26058752 40411424 80822848 161645696 323291392 646582784 1293165568 2586331136 5172662272 10345324544