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13631663184 = 2432313818941
BaseRepresentation
bin11001011001000001…
…01010110001010000
31022012000101020110020
430230200222301100
5210404201210214
610132353503440
7661543140156
oct145440526120
938160336406
1013631663184
11586579a347
122785271b80
1313932055b9
149345d53d6
1554bb264a9
hex32c82ac50

13631663184 has 80 divisors (see below), whose sum is σ = 36776943744. Its totient is φ = 4342694400.

The previous prime is 13631663137. The next prime is 13631663203. The reversal of 13631663184 is 48136613631.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520154 + ... + 1529094.

Almost surely, 213631663184 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 13631663184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388471872).

13631663184 is an abundant number, since it is smaller than the sum of its proper divisors (23145280560).

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

13631663184 is a wasteful number, since it uses less digits than its factorization.

13631663184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10350 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 13631663184 in words is "thirteen billion, six hundred thirty-one million, six hundred sixty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1381 2762 4143 5524 8286 8941 11048 16572 17882 22096 26823 31763 33144 35764 53646 63526 66288 71528 95289 107292 127052 143056 190578 205643 214584 254104 381156 411286 429168 508208 616929 762312 822572 1233858 1524624 1645144 2467716 3290288 4935432 9870864 12347521 24695042 37042563 49390084 74085126 98780168 148170252 197560336 283992983 296340504 567985966 592681008 851978949 1135971932 1703957898 2271943864 3407915796 4543887728 6815831592 13631663184