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14868918648 = 2332206512759
BaseRepresentation
bin11011101100100000…
…11011000101111000
31102101020111022212200
431312100123011320
5220422420344043
610455232310200
71034315503023
oct156620330570
942336438780
1014868918648
116340131721
122a6b6a2360
13152c64231c
14a10a621ba
155c05707d3
hex37641b178

14868918648 has 24 divisors (see below), whose sum is σ = 40269988200. Its totient is φ = 4956306192.

The previous prime is 14868918643. The next prime is 14868918667. The reversal of 14868918648 is 84681986841.

14868918648 is a `hidden beast` number, since 1 + 486 + 8 + 91 + 8 + 64 + 8 = 666.

14868918648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14868918643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103256308 + ... + 103256451.

It is an arithmetic number, because the mean of its divisors is an integer number (1677916175).

Almost surely, 214868918648 is an apocalyptic number.

14868918648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14868918648 is an abundant number, since it is smaller than the sum of its proper divisors (25401069552).

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

14868918648 is a wasteful number, since it uses less digits than its factorization.

14868918648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206512771 (or 206512764 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 14868918648 in words is "fourteen billion, eight hundred sixty-eight million, nine hundred eighteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 206512759 413025518 619538277 826051036 1239076554 1652102072 1858614831 2478153108 3717229662 4956306216 7434459324 14868918648