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10444300032 = 28373318553
BaseRepresentation
bin10011011101000011…
…10101111100000000
3222221212210102012010
421232201311330000
5132342220100112
64444213332520
7516551041215
oct115641657400
928855712163
1010444300032
11447a598221
122035937140
13ca5a6c8ba
14711179b0c
15411dc263c
hex26e875f00

10444300032 has 72 divisors (see below), whose sum is σ = 27836491984. Its totient is φ = 3476496384.

The previous prime is 10444299997. The next prime is 10444300037. The reversal of 10444300032 is 23000344401.

It is a junction number, because it is equal to n+sod(n) for n = 10444299981 and 10444300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444300037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 553668 + ... + 572220.

Almost surely, 210444300032 is an apocalyptic number.

10444300032 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 10444300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918245992).

10444300032 is an abundant number, since it is smaller than the sum of its proper divisors (17392191952).

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

10444300032 is an equidigital number, since it uses as much as digits as its factorization.

10444300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19305 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10444300032 its reverse (23000344401), we get a palindrome (33444644433).

The spelling of 10444300032 in words is "ten billion, four hundred forty-four million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 733 768 1466 2199 2932 4398 5864 8796 11728 17592 18553 23456 35184 37106 46912 55659 70368 74212 93824 111318 140736 148424 187648 222636 281472 296848 445272 562944 593696 890544 1187392 1781088 2374784 3562176 4749568 7124352 13599349 14248704 27198698 40798047 54397396 81596094 108794792 163192188 217589584 326384376 435179168 652768752 870358336 1305537504 1740716672 2611075008 3481433344 5222150016 10444300032