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26142298606116 = 223474112172312
BaseRepresentation
bin1011111000110101110100…
…11011000000101000100100
310102120011211201221020010000
411330122322123000220210
511411303411420343431
6131333334534101300
75335501346520000
oct574327233005044
9112504751836100
1026142298606116
118369983042400
122b22676aaa830
1311782924b0384
14665418a63700
1530504b7389e6
hex17c6ba6c0a24

26142298606116 has 2025 divisors, whose sum is σ = 96191297772801. Its totient is φ = 6184629158400.

The previous prime is 26142298606111. The next prime is 26142298606117. The reversal of 26142298606116 is 61160689224162.

It is a happy number.

The square root of 26142298606116 is 5112954.

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

26142298606116 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 2 + 29 + 8 + 606 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20353000644900 + 5789297961216 = 4511430^2 + 2406096^2 .

It is a super-2 number, since 2×261422986061162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26142298606111) by changing a digit.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 843299955021 + ... + 843299955051.

Almost surely, 226142298606116 is an apocalyptic number.

26142298606116 is the 5112954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26142298606116

26142298606116 is an abundant number, since it is smaller than the sum of its proper divisors (70048999166685).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26142298606116 is a wasteful number, since it uses less digits than its factorization.

26142298606116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 26142298606116 in words is "twenty-six trillion, one hundred forty-two billion, two hundred ninety-eight million, six hundred six thousand, one hundred sixteen".