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13004444032 = 271710095923
BaseRepresentation
bin11000001110010000…
…00001000110000000
31020120022011012112021
430013020001012000
5203113114202112
65550230211224
7640155643666
oct140710010600
936508135467
1013004444032
115573740308
12262b1b3b14
1312c32996c8
148b51a4c36
15511a2d907
hex307201180

13004444032 has 64 divisors (see below), whose sum is σ = 27463071600. Its totient is φ = 6112641024.

The previous prime is 13004444003. The next prime is 13004444041. The reversal of 13004444032 is 23044440031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13004443988 and 13004444006.

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, 2192623 + ... + 2198545.

Almost surely, 213004444032 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 13004444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731535800).

13004444032 is an abundant number, since it is smaller than the sum of its proper divisors (14458627568).

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

13004444032 is a wasteful number, since it uses less digits than its factorization.

13004444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6963 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 13004444032 its reverse (23044440031), we get a palindrome (36048884063).

The spelling of 13004444032 in words is "thirteen billion, four million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1009 1088 2018 2176 4036 5923 8072 11846 16144 17153 23692 32288 34306 47384 64576 68612 94768 100691 129152 137224 189536 201382 274448 379072 402764 548896 758144 805528 1097792 1611056 2195584 3222112 5976307 6444224 11952614 12888448 23905228 47810456 95620912 101597219 191241824 203194438 382483648 406388876 764967296 812777752 1625555504 3251111008 6502222016 13004444032