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14537305056 = 2534115712351
BaseRepresentation
bin11011000100111110…
…11010101111100000
31101112010111121112210
431202133122233200
5214233022230211
610402304522120
71023151024401
oct154237325740
941463447483
1014537305056
11618aa254aa
122998620340
1314a8a25c71
149bc9bd9a8
155a13b99a6
hex3627dabe0

14537305056 has 96 divisors (see below), whose sum is σ = 39132688896. Its totient is φ = 4722560000.

The previous prime is 14537305051. The next prime is 14537305067. The reversal of 14537305056 is 65050373541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145373050562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14537305051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6182281 + ... + 6184631.

It is an arithmetic number, because the mean of its divisors is an integer number (407632176).

Almost surely, 214537305056 is an apocalyptic number.

14537305056 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 14537305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19566344448).

14537305056 is an abundant number, since it is smaller than the sum of its proper divisors (24595383840).

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

14537305056 is a wasteful number, since it uses less digits than its factorization.

14537305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

Adding to 14537305056 its reverse (65050373541), we get a palindrome (79587678597).

The spelling of 14537305056 in words is "fourteen billion, five hundred thirty-seven million, three hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1571 1968 2351 3142 3936 4702 4713 6284 7053 9404 9426 12568 14106 18808 18852 25136 28212 37616 37704 50272 56424 64411 75232 75408 96391 112848 128822 150816 192782 193233 225696 257644 289173 385564 386466 515288 578346 771128 772932 1030576 1156692 1542256 1545864 2061152 2313384 3084512 3091728 3693421 4626768 6183456 7386842 9253536 11080263 14773684 22160526 29547368 44321052 59094736 88642104 118189472 151430261 177284208 302860522 354568416 454290783 605721044 908581566 1211442088 1817163132 2422884176 3634326264 4845768352 7268652528 14537305056