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136804112076241 = 37234729112
BaseRepresentation
bin11111000110110000110000…
…100000010000110111010001
3122221101100022210021200210201
4133012300300200100313101
5120412344310142414431
61202542535205255201
740546525300121311
oct3706606040206721
9587340283250721
10136804112076241
113a654330878095
1213415678404501
135b4475979444c
1425ad4d64bd441
1510c38c7836461
hex7c6c30810dd1

136804112076241 has 27 divisors (see below), whose sum is σ = 141162763117467. Its totient is φ = 132577421361840.

The previous prime is 136804112076227. The next prime is 136804112076287. The reversal of 136804112076241 is 142670211408631.

The square root of 136804112076241 is 11696329.

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., 122414198169025 + 14389913907216 = 11064095^2 + 3793404^2 .

It is not a de Polignac number, because 136804112076241 - 25 = 136804112076209 is a prime.

It is a super-2 number, since 2×1368041120762412 (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 = 136804112076191 and 136804112076200.

It is not an unprimeable number, because it can be changed into a prime (136804112046241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150169167576 + ... + 150169168486.

Almost surely, 2136804112076241 is an apocalyptic number.

136804112076241 is the 11696329-th square number.

136804112076241 is the 5848165-th centered octagonal number.

It is an amenable number.

136804112076241 is a deficient number, since it is larger than the sum of its proper divisors (4358651041226).

136804112076241 is an frugal number, since it uses more digits than its factorization.

136804112076241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 136804112076241 in words is "one hundred thirty-six trillion, eight hundred four billion, one hundred twelve million, seventy-six thousand, two hundred forty-one".

Divisors: 1 37 347 911 1369 12839 33707 120409 316117 475043 829921 1247159 4455133 11696329 30707077 109692599 164839921 287982587 432764173 1136161849 4058626163 10655355719 99929957689 150169168031 394248161603 3697408434493 136804112076241