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137783860230769 = 117381372
BaseRepresentation
bin11111010101000001001110…
…000010110111101001110001
3200001212000020010021202222221
4133111001032002313221301
5121024422321204341034
61205013010452401041
741010361334044144
oct3725011602675161
9601760203252887
10137783860230769
113a9a189709a805
1213553528016181
135bb5c6814796c
142604abb00405b
1510de11b185bb4
hex7d504e0b7a71

137783860230769 has 3 divisors (see below), whose sum is σ = 137783871968907. Its totient is φ = 137783848492632.

The previous prime is 137783860230713. The next prime is 137783860230799. The reversal of 137783860230769 is 967032068387731.

The square root of 137783860230769 is 11738137.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 31979760154225 + 105804100076544 = 5655065^2 + 10286112^2 .

It is not a de Polignac number, because 137783860230769 - 27 = 137783860230641 is a prime.

It is a super-2 number, since 2×1377838602307692 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137783860230698 and 137783860230707.

It is not an unprimeable number, because it can be changed into a prime (137783860230799) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5869069 + ... + 17607205.

It is an arithmetic number, because the mean of its divisors is an integer number (45927957322969).

Almost surely, 2137783860230769 is an apocalyptic number.

137783860230769 is the 11738137-th square number.

137783860230769 is the 5869069-th centered octagonal number.

It is an amenable number.

137783860230769 is a deficient number, since it is larger than the sum of its proper divisors (11738138).

137783860230769 is an frugal number, since it uses more digits than its factorization.

137783860230769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23476274 (or 11738137 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 70.

The spelling of 137783860230769 in words is "one hundred thirty-seven trillion, seven hundred eighty-three billion, eight hundred sixty million, two hundred thirty thousand, seven hundred sixty-nine".

Divisors: 1 11738137 137783860230769