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117687419136 = 28327210212
BaseRepresentation
bin110110110011010110…
…1111000000100000000
3102020202211122022221100
41231212231320010000
53412010434403021
6130022001454400
711334255362100
oct1554655700400
9366684568840
10117687419136
1145a02530971
121a985341400
13b137058a21
1459a6161200
1530dbe4b626
hex1b66b78100

117687419136 has 243 divisors, whose sum is σ = 395108308413. Its totient is φ = 33592043520.

The previous prime is 117687419123. The next prime is 117687419149. The reversal of 117687419136 is 631914786711.

The square root of 117687419136 is 343056.

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

117687419136 is a `hidden beast` number, since 1 + 17 + 6 + 87 + 419 + 136 = 666.

It is an interprime number because it is at equal distance from previous prime (117687419123) and next prime (117687419149).

It can be written as a sum of positive squares in only one way, i.e., 68509921536 + 49177497600 = 261744^2 + 221760^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115266306 + ... + 115267326.

Almost surely, 2117687419136 is an apocalyptic number.

117687419136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117687419136 is the 343056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117687419136

117687419136 is an abundant number, since it is smaller than the sum of its proper divisors (277420889277).

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

117687419136 is an frugal number, since it uses more digits than its factorization.

117687419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 1033 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 117687419136 in words is "one hundred seventeen billion, six hundred eighty-seven million, four hundred nineteen thousand, one hundred thirty-six".