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137965444969 = 112337672
BaseRepresentation
bin1000000001111101100…
…0011001111101101001
3111012010001022202221011
42000133120121331221
54230023123214334
6143214102143521
712652624634662
oct2003730317551
9435101282834
10137965444969
1153568995900
12228a4421ba1
1310019209591
14696b33a369
1538c72d5564
hex201f619f69

137965444969 has 9 divisors (see below), whose sum is σ = 151652459581. Its totient is φ = 125419417420.

The previous prime is 137965444901. The next prime is 137965444997. The reversal of 137965444969 is 969444569731.

The square root of 137965444969 is 371437.

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

137965444969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137965444969 - 215 = 137965412201 is a prime.

It is a super-2 number, since 2×1379654449692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137965444369) 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 8 ways as a sum of consecutive naturals, for example, 4068924 + ... + 4102690.

Almost surely, 2137965444969 is an apocalyptic number.

137965444969 is the 371437-th square number.

137965444969 is the 185719-th centered octagonal number.

It is an amenable number.

137965444969 is a deficient number, since it is larger than the sum of its proper divisors (13687014612).

137965444969 is an frugal number, since it uses more digits than its factorization.

137965444969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67556 (or 33778 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 67.

The spelling of 137965444969 in words is "one hundred thirty-seven billion, nine hundred sixty-five million, four hundred forty-four thousand, nine hundred sixty-nine".

Divisors: 1 11 121 33767 371437 4085807 1140210289 12542313179 137965444969