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121736094649 = 132268392
BaseRepresentation
bin111000101100000001…
…0010110001110111001
3102122012222221100122021
41301120002112032321
53443303420012044
6131531430554441
711536506505561
oct1613002261671
9378188840567
10121736094649
114769a940794
121b715208a21
13b630a90a00
145c6bb45da1
1532775d8e84
hex1c580963b9

121736094649 has 9 divisors (see below), whose sum is σ = 131825653263. Its totient is φ = 112367592792.

The previous prime is 121736094647. The next prime is 121736094653. The reversal of 121736094649 is 946490637121.

The square root of 121736094649 is 348907.

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., 18008298025 + 103727796624 = 134195^2 + 322068^2 .

It is not a de Polignac number, because 121736094649 - 21 = 121736094647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121736094596 and 121736094605.

It is not an unprimeable number, because it can be changed into a prime (121736094647) 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 8 ways as a sum of consecutive naturals, for example, 4522372 + ... + 4549210.

It is an arithmetic number, because the mean of its divisors is an integer number (14647294807).

Almost surely, 2121736094649 is an apocalyptic number.

121736094649 is the 348907-th square number.

121736094649 is the 174454-th centered octagonal number.

It is an amenable number.

121736094649 is a deficient number, since it is larger than the sum of its proper divisors (10089558614).

121736094649 is an frugal number, since it uses more digits than its factorization.

121736094649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53704 (or 26852 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 121736094649 in words is "one hundred twenty-one billion, seven hundred thirty-six million, ninety-four thousand, six hundred forty-nine".

Divisors: 1 13 169 26839 348907 4535791 720331921 9364314973 121736094649