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3680822591209 = 5346832
BaseRepresentation
bin110101100100000010000…
…111110111111011101001
3111000212211212002100221101
4311210002013313323221
5440301311040404314
611454540242241401
7526634133540601
oct65440207677351
914025755070841
103680822591209
11119a0344372a5
124b5450056261
1320913bb54a7a
14ca21d281c01
1565b2edbb174
hex359021f7ee9

3680822591209 has 15 divisors (see below), whose sum is σ = 3757108511233. Its totient is φ = 3606085592824.

The previous prime is 3680822591179. The next prime is 3680822591263. The reversal of 3680822591209 is 9021952280863.

The square root of 3680822591209 is 1918547.

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

It can be written as a sum of positive squares in 2 ways, for example, as 718430845609 + 2962391745600 = 847603^2 + 1721160^2 .

It is not a de Polignac number, because 3680822591209 - 25 = 3680822591177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3680822591209.

It is not an unprimeable number, because it can be changed into a prime (3680822594209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5389198182 + ... + 5389198864.

Almost surely, 23680822591209 is an apocalyptic number.

3680822591209 is the 1918547-th square number.

3680822591209 is the 959274-th centered octagonal number.

It is an amenable number.

3680822591209 is a deficient number, since it is larger than the sum of its proper divisors (76285920024).

3680822591209 is an frugal number, since it uses more digits than its factorization.

3680822591209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 3680822591209 in words is "three trillion, six hundred eighty billion, eight hundred twenty-two million, five hundred ninety-one thousand, two hundred nine".

Divisors: 1 53 683 2809 36199 148877 466489 1918547 7890481 24723917 101682991 1310367601 5389198523 69449482853 3680822591209