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13985900644 = 2229220392
BaseRepresentation
bin11010000011001111…
…11110100001100100
31100002200221100220011
431001213332201210
5212120342310034
610231450220004
71003404123352
oct150147764144
940080840804
1013985900644
115a27749181
122863a24604
13141b713471
149696867d2
1556cc9a864
hex3419fe864

13985900644 has 27 divisors (see below), whose sum is σ = 25360843417. Its totient is φ = 6748502768.

The previous prime is 13985900633. The next prime is 13985900699. The reversal of 13985900644 is 44600958931.

It is a happy number.

The square root of 13985900644 is 118262.

It is a perfect power (a square), and thus also a powerful number.

13985900644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7333867044 + 6652033600 = 85638^2 + 81560^2 .

It is a super-2 number, since 2×139859006442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 3.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 6858177 + ... + 6860215.

Almost surely, 213985900644 is an apocalyptic number.

13985900644 is the 118262-nd square number.

It is an amenable number.

13985900644 is a deficient number, since it is larger than the sum of its proper divisors (11374942773).

13985900644 is an frugal number, since it uses more digits than its factorization.

13985900644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 13985900644 by its sum of digits (49), we get a square (685309131556 = 8278342).

The spelling of 13985900644 in words is "thirteen billion, nine hundred eighty-five million, nine hundred thousand, six hundred forty-four".

Divisors: 1 2 4 29 58 116 841 1682 2039 3364 4078 8156 59131 118262 236524 1714799 3429598 4157521 6859196 8315042 16630084 120568109 241136218 482272436 3496475161 6992950322 13985900644