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13132434304 = 271134726879
BaseRepresentation
bin11000011101100000…
…10000101110000000
31020220012222210011201
430032300100232000
5203343400344204
610011041350544
7643301564323
oct141660205600
936805883151
1013132434304
115629a0a2a0
122666038454
1313139604b2
148c81a07ba
1551cdb19a4
hex30ec10b80

13132434304 has 64 divisors (see below), whose sum is σ = 28623974400. Its totient is φ = 5951864320.

The previous prime is 13132434299. The next prime is 13132434377. The reversal of 13132434304 is 40343423131.

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

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, 475137 + ... + 502015.

It is an arithmetic number, because the mean of its divisors is an integer number (447249600).

Almost surely, 213132434304 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 13132434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311987200).

13132434304 is an abundant number, since it is smaller than the sum of its proper divisors (15491540096).

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

13132434304 is a wasteful number, since it uses less digits than its factorization.

13132434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27251 (or 27239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13132434304 its reverse (40343423131), we get a palindrome (53475857435).

The spelling of 13132434304 in words is "thirteen billion, one hundred thirty-two million, four hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 347 352 694 704 1388 1408 2776 3817 5552 7634 11104 15268 22208 26879 30536 44416 53758 61072 107516 122144 215032 244288 295669 430064 488576 591338 860128 1182676 1720256 2365352 3440512 4730704 9327013 9461408 18654026 18922816 37308052 37845632 74616104 102597143 149232208 205194286 298464416 410388572 596928832 820777144 1193857664 1641554288 3283108576 6566217152 13132434304