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13306402176 = 273534211553
BaseRepresentation
bin11000110010001111…
…11001010110000000
31021100100100021020020
430121013321112000
5204222414332201
610040214213440
7650513360304
oct143107712600
937310307206
1013306402176
1157091319a1
1226b4354280
131340a01872
14903327d04
1552d2c7a36
hex3191f9580

13306402176 has 128 divisors (see below), whose sum is σ = 36120803040. Its totient is φ = 4338647040.

The previous prime is 13306402169. The next prime is 13306402189. The reversal of 13306402176 is 67120460331.

It is a tau number, because it is divible by the number of its divisors (128).

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, 8567416 + ... + 8568968.

Almost surely, 213306402176 is an apocalyptic number.

13306402176 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 13306402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18060401520).

13306402176 is an abundant number, since it is smaller than the sum of its proper divisors (22814400864).

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

13306402176 is a wasteful number, since it uses less digits than its factorization.

13306402176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13306402176 in words is "thirteen billion, three hundred six million, four hundred two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 421 424 636 842 848 1263 1272 1553 1684 1696 2526 2544 3106 3368 3392 4659 5052 5088 6212 6736 6784 9318 10104 10176 12424 13472 18636 20208 20352 22313 24848 26944 37272 40416 44626 49696 53888 66939 74544 80832 82309 89252 99392 133878 149088 161664 164618 178504 198784 246927 267756 298176 329236 357008 493854 535512 596352 653813 658472 714016 987708 1071024 1307626 1316944 1428032 1961439 1975416 2142048 2615252 2633888 2856064 3922878 3950832 4284096 5230504 5267776 7845756 7901664 8568192 10461008 10535552 15691512 15803328 20922016 31383024 31606656 34652089 41844032 62766048 69304178 83688064 103956267 125532096 138608356 207912534 251064192 277216712 415825068 554433424 831650136 1108866848 1663300272 2217733696 3326600544 4435467392 6653201088 13306402176