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13013444032 = 26593978681
BaseRepresentation
bin11000001111010100…
…10110010111000000
31020120221002110012121
430013222112113000
5203122420202112
65551151134024
7640325310031
oct140752262700
936527073177
1013013444032
115578828126
122632214314
1312c50cb054
148b6468a88
1551270a407
hex307a965c0

13013444032 has 56 divisors (see below), whose sum is σ = 26330422320. Its totient is φ = 6379591680.

The previous prime is 13013443997. The next prime is 13013444063. The reversal of 13013444032 is 23044431031.

It is a junction number, because it is equal to n+sod(n) for n = 13013443988 and 13013444006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1494732 + ... + 1503412.

Almost surely, 213013444032 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 13013444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165211160).

13013444032 is an abundant number, since it is smaller than the sum of its proper divisors (13316978288).

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

13013444032 is an equidigital number, since it uses as much as digits as its factorization.

13013444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 13013444032 its reverse (23044431031), we get a palindrome (36057875063).

The spelling of 13013444032 in words is "thirteen billion, thirteen million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 397 472 794 944 1588 1888 3176 3776 6352 8681 12704 17362 23423 25408 34724 46846 69448 93692 138896 187384 277792 374768 512179 555584 749536 1024358 1499072 2048716 3446357 4097432 6892714 8194864 13785428 16389728 27570856 32779456 55141712 110283424 203335063 220566848 406670126 813340252 1626680504 3253361008 6506722016 13013444032