Search a number
-
+
10444305552 = 243597015261
BaseRepresentation
bin10011011101000011…
…10111010010010000
3222221212210200202120
421232201313102100
5132342220234202
64444213414240
7516551063262
oct115641672220
928855720676
1010444305552
11447a5a138a
12203593a380
13ca5a72275
1471117bb32
15411dc40bc
hex26e877490

10444305552 has 80 divisors (see below), whose sum is σ = 27482794560. Its totient is φ = 3416896000.

The previous prime is 10444305539. The next prime is 10444305563. The reversal of 10444305552 is 25550344401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1982602 + ... + 1987862.

It is an arithmetic number, because the mean of its divisors is an integer number (343534932).

Almost surely, 210444305552 is an apocalyptic number.

10444305552 is a gapful number since it is divisible by the number (12) 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 10444305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741397280).

10444305552 is an abundant number, since it is smaller than the sum of its proper divisors (17038489008).

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

10444305552 is a wasteful number, since it uses less digits than its factorization.

10444305552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 10444305552 its reverse (25550344401), we get a palindrome (35994649953).

The spelling of 10444305552 in words is "ten billion, four hundred forty-four million, three hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 701 708 944 1402 1416 2103 2804 2832 4206 5261 5608 8412 10522 11216 15783 16824 21044 31566 33648 41359 42088 63132 82718 84176 124077 126264 165436 248154 252528 310399 330872 496308 620798 661744 931197 992616 1241596 1862394 1985232 2483192 3687961 3724788 4966384 7375922 7449576 11063883 14751844 14899152 22127766 29503688 44255532 59007376 88511064 177022128 217589699 435179398 652769097 870358796 1305538194 1740717592 2611076388 3481435184 5222152776 10444305552