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13204562016 = 2532347127241
BaseRepresentation
bin11000100110000110…
…11010000001100000
31021002020201020210110
430103003122001200
5204020331441031
610022135331320
7645135632232
oct142303320140
937066636713
1013204562016
1156666a3978
122686220b40
131325895609
148d39b8252
155243acc46
hex3130da060

13204562016 has 96 divisors (see below), whose sum is σ = 36938861568. Its totient is φ = 4120540160.

The previous prime is 13204561957. The next prime is 13204562123. The reversal of 13204562016 is 61026540231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 40156 + ... + 167396.

It is an arithmetic number, because the mean of its divisors is an integer number (384779808).

Almost surely, 213204562016 is an apocalyptic number.

13204562016 is a gapful number since it is divisible by the number (16) 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 13204562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469430784).

13204562016 is an abundant number, since it is smaller than the sum of its proper divisors (23734299552).

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

13204562016 is a wasteful number, since it uses less digits than its factorization.

13204562016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127324 (or 127316 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13204562016 in words is "thirteen billion, two hundred four million, five hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2208 2256 3243 4324 4512 6486 8648 12972 17296 25944 34592 51888 103776 127241 254482 381723 508964 763446 1017928 1526892 2035856 2926543 3053784 4071712 5853086 5980327 6107568 8779629 11706172 11960654 12215136 17559258 17940981 23412344 23921308 35118516 35881962 46824688 47842616 70237032 71763924 93649376 95685232 137547521 140474064 143527848 191370464 275095042 280948128 287055696 412642563 550190084 574111392 825285126 1100380168 1650570252 2200760336 3301140504 4401520672 6602281008 13204562016