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136392091969 = 7475372
BaseRepresentation
bin111111100000110011…
…0100010100101000001
3111001001101210011100211
41333001212202211001
54213312333420334
6142354015514121
712565631440000
oct1770146424501
9431041704324
10136392091969
1152930864471
1222525528941
13cb28273583
14685c3c0c37
1538340eba64
hex1fc19a2941

136392091969 has 15 divisors (see below), whose sum is σ = 159135753507. Its totient is φ = 116891996256.

The previous prime is 136392091963. The next prime is 136392091981. The reversal of 136392091969 is 969190293631.

The square root of 136392091969 is 369313.

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

It can be written as a sum of positive squares in only one way, i.e., 58711713025 + 77680378944 = 242305^2 + 278712^2 .

It is not a de Polignac number, because 136392091969 - 215 = 136392059201 is a prime.

It is a super-2 number, since 2×1363920919692 (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 (136392091963) 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 14 ways as a sum of consecutive naturals, for example, 18092569 + ... + 18100105.

Almost surely, 2136392091969 is an apocalyptic number.

136392091969 is the 369313-rd square number.

136392091969 is the 184657-th centered octagonal number.

It is an amenable number.

136392091969 is a deficient number, since it is larger than the sum of its proper divisors (22743661538).

136392091969 is an frugal number, since it uses more digits than its factorization.

136392091969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15102 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 58.

The spelling of 136392091969 in words is "one hundred thirty-six billion, three hundred ninety-two million, ninety-one thousand, nine hundred sixty-nine".

Divisors: 1 7 49 343 2401 7537 52759 369313 2585191 18096337 56806369 397644583 2783512081 19484584567 136392091969