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14520484608 = 283719142157
BaseRepresentation
bin11011000010111110…
…10000001100000000
31101110221212001020020
431201133100030000
5214214221001413
610400504213440
71022555040240
oct154137201400
941427761206
1014520484608
116181487003
122992a6a280
1314a53b6b36
149ba681b20
1559eb95c23
hex3617d0300

14520484608 has 144 divisors (see below), whose sum is σ = 46491352320. Its totient is φ = 3930329088.

The previous prime is 14520484579. The next prime is 14520484609. The reversal of 14520484608 is 80648402541.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 14520484608.

It is not an unprimeable number, because it can be changed into a prime (14520484609) by changing a digit.

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, 31066 + ... + 173222.

Almost surely, 214520484608 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 14520484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23245676160).

14520484608 is an abundant number, since it is smaller than the sum of its proper divisors (31970867712).

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

14520484608 is a wasteful number, since it uses less digits than its factorization.

14520484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142202 (or 142188 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 14520484608 in words is "fourteen billion, five hundred twenty million, four hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 34048 51072 102144 142157 284314 426471 568628 852942 995099 1137256 1705884 1990198 2274512 2700983 2985297 3411768 3980396 4549024 5401966 5970594 6823536 7960792 8102949 9098048 10803932 11941188 13647072 15921584 16205898 18196096 18906881 21607864 23882376 27294144 31843168 32411796 36392192 37813762 43215728 47764752 54588288 56720643 63686336 64823592 75627524 86431456 95529504 109176576 113441286 127372672 129647184 151255048 172862912 191059008 226882572 254745344 259294368 302510096 345725824 382118016 453765144 518588736 605020192 691451648 764236032 907530288 1037177472 1210040384 1815060576 2074354944 2420080768 3630121152 4840161536 7260242304 14520484608