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14880873348 = 223211251149713
BaseRepresentation
bin11011101101111100…
…00001101110000100
31102102001222200122100
431312332001232010
5220434000421343
610500340432100
71034522223255
oct156676015604
942361880570
1014880873348
116346957440
122a736a8630
131531c69803
14a12494b2c
155c16329d3
hex376f81b84

14880873348 has 72 divisors (see below), whose sum is σ = 41198897376. Its totient is φ = 4491360000.

The previous prime is 14880873311. The next prime is 14880873349. The reversal of 14880873348 is 84337808841.

It is a happy number.

14880873348 is a `hidden beast` number, since 148 + 80 + 87 + 3 + 348 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14880873294 and 14880873303.

It is not an unprimeable number, because it can be changed into a prime (14880873349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24540 + ... + 174252.

It is an arithmetic number, because the mean of its divisors is an integer number (572206908).

Almost surely, 214880873348 is an apocalyptic number.

14880873348 is a gapful number since it is divisible by the number (18) 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 14880873348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599448688).

14880873348 is an abundant number, since it is smaller than the sum of its proper divisors (26318024028).

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

14880873348 is a wasteful number, since it uses less digits than its factorization.

14880873348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149985 (or 149980 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14880873348 in words is "fourteen billion, eight hundred eighty million, eight hundred seventy-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 753 1004 1506 2259 2761 3012 4518 5522 8283 9036 11044 16566 24849 33132 49698 99396 149713 299426 449139 598852 898278 1347417 1646843 1796556 2694834 3293686 4940529 5389668 6587372 9881058 14821587 19762116 29643174 37577963 59286348 75155926 112733889 150311852 225467778 338201667 413357593 450935556 676403334 826715186 1240072779 1352806668 1653430372 2480145558 3720218337 4960291116 7440436674 14880873348