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12448520832 = 273116148313
BaseRepresentation
bin10111001011111110…
…10101101010000000
31012010120002101021010
423211333111222000
5200443310131312
65415131000520
7620325452436
oct134577255200
935116071233
1012448520832
115308957a50
1224b4b99140
131235064177
14861412d56
154ccd1a93c
hex2e5fd5a80

12448520832 has 128 divisors (see below), whose sum is σ = 36664528320. Its totient is φ = 3710361600.

The previous prime is 12448520753. The next prime is 12448520863. The reversal of 12448520832 is 23802584421.

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

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, 233508 + ... + 281820.

Almost surely, 212448520832 is an apocalyptic number.

12448520832 is a gapful number since it is divisible by the number (12) 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 12448520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332264160).

12448520832 is an abundant number, since it is smaller than the sum of its proper divisors (24216007488).

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

12448520832 is a wasteful number, since it uses less digits than its factorization.

12448520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48402 (or 48390 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 12448520832 in words is "twelve billion, four hundred forty-eight million, five hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 528 671 704 732 976 1056 1342 1408 1464 1952 2013 2112 2684 2928 3904 4026 4224 5368 5856 7808 8052 10736 11712 16104 21472 23424 32208 42944 48313 64416 85888 96626 128832 144939 193252 257664 289878 386504 531443 579756 773008 1062886 1159512 1546016 1594329 2125772 2319024 2947093 3092032 3188658 4251544 4638048 5894186 6184064 6377316 8503088 8841279 9276096 11788372 12754632 17006176 17682558 18552192 23576744 25509264 32418023 34012352 35365116 47153488 51018528 64836046 68024704 70730232 94306976 97254069 102037056 129672092 141460464 188613952 194508138 204074112 259344184 282920928 377227904 389016276 518688368 565841856 778032552 1037376736 1131683712 1556065104 2074753472 3112130208 4149506944 6224260416 12448520832