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13271444264 = 231331744417
BaseRepresentation
bin11000101110000101…
…00010101100101000
31021020220120012222202
430113002202230220
5204134442204024
610032525035332
7646610262221
oct142702425450
937226505882
1013271444264
1156a0425561
1226a46b5b48
1313366b2000
148dc828248
1552a1bebae
hex3170a2b28

13271444264 has 64 divisors (see below), whose sum is σ = 28543006800. Its totient is φ = 5764841472.

The previous prime is 13271444257. The next prime is 13271444267. The reversal of 13271444264 is 46244417231.

It can be written as a sum of positive squares in 8 ways, for example, as 1596641764 + 11674802500 = 39958^2 + 108050^2 .

It is a super-2 number, since 2×132714442642 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13271444267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276584 + ... + 321000.

Almost surely, 213271444264 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 13271444264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14271503400).

13271444264 is an abundant number, since it is smaller than the sum of its proper divisors (15271562536).

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

13271444264 is a wasteful number, since it uses less digits than its factorization.

13271444264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44479 (or 44449 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The spelling of 13271444264 in words is "thirteen billion, two hundred seventy-one million, four hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1768 2197 2873 4394 5746 8788 11492 17576 22984 37349 44417 74698 88834 149396 177668 298792 355336 577421 755089 1154842 1510178 2309684 3020356 4619368 6040712 7506473 9816157 15012946 19632314 30025892 39264628 60051784 78529256 97584149 127610041 195168298 255220082 390336596 510440164 780673192 1020880328 1658930533 3317861066 6635722132 13271444264