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113666076736 = 26172372672
BaseRepresentation
bin110100111011100000…
…1101011000001000000
3101212101120202222012221
41221313001223001000
53330242003423421
6124114550300424
711132515465552
oct1516701530100
9355346688187
10113666076736
114422959a8a3
121a042657714
13a945ba3b94
1457040534d2
152e53dac841
hex1a7706b040

113666076736 has 189 divisors, whose sum is σ = 249985732311. Its totient is φ = 51267465216.

The previous prime is 113666076683. The next prime is 113666076737. The reversal of 113666076736 is 637670666311.

The square root of 113666076736 is 337144.

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

It can be written as a sum of positive squares in 4 ways, for example, as 52874243136 + 60791833600 = 229944^2 + 246560^2 .

It is not an unprimeable number, because it can be changed into a prime (113666076737) 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, 1696508575 + ... + 1696508641.

Almost surely, 2113666076736 is an apocalyptic number.

113666076736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113666076736 is the 337144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113666076736

113666076736 is an abundant number, since it is smaller than the sum of its proper divisors (136319655575).

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

113666076736 is an frugal number, since it uses more digits than its factorization.

113666076736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 52.

The spelling of 113666076736 in words is "one hundred thirteen billion, six hundred sixty-six million, seventy-six thousand, seven hundred thirty-six".