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13326161376 = 2531125749103
BaseRepresentation
bin11000110100100110…
…10001010111100000
31021101201112010202110
430122103101113200
5204242444131001
610042201515320
7651143334303
oct143223212740
937351463673
1013326161376
1157192a8310
1226baaa2b40
131344b2c4b8
14905bccb3a
1552edcc3d6
hex31a4d15e0

13326161376 has 96 divisors (see below), whose sum is σ = 38310547968. Its totient is φ = 4022435840.

The previous prime is 13326161353. The next prime is 13326161411. The reversal of 13326161376 is 67316162331.

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, 246841 + ... + 295943.

It is an arithmetic number, because the mean of its divisors is an integer number (399068208).

Almost surely, 213326161376 is an apocalyptic number.

13326161376 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 13326161376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155273984).

13326161376 is an abundant number, since it is smaller than the sum of its proper divisors (24984386592).

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

13326161376 is a wasteful number, since it uses less digits than its factorization.

13326161376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49384 (or 49376 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The spelling of 13326161376 in words is "thirteen billion, three hundred twenty-six million, one hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 257 264 352 514 528 771 1028 1056 1542 2056 2827 3084 4112 5654 6168 8224 8481 11308 12336 16962 22616 24672 33924 45232 49103 67848 90464 98206 135696 147309 196412 271392 294618 392824 540133 589236 785648 1080266 1178472 1571296 1620399 2160532 2356944 3240798 4321064 4713888 6481596 8642128 12619471 12963192 17284256 25238942 25926384 37858413 50477884 51852768 75716826 100955768 138814181 151433652 201911536 277628362 302867304 403823072 416442543 555256724 605734608 832885086 1110513448 1211469216 1665770172 2221026896 3331540344 4442053792 6663080688 13326161376