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102679230096 = 2438232432
BaseRepresentation
bin101111110100000101…
…0001011011010010000
3100211000220002100000000
41133220022023122100
53140241340330341
6115100432130000
710263326024652
oct1375012133220
9324026070000
10102679230096
113a600826353
1217a97096900
1398b49034b1
144d80c086d2
152a0e56a8b6
hex17e828b690

102679230096 has 405 divisors, whose sum is σ = 319357169859. Its totient is φ = 31976949312.

The previous prime is 102679230079. The next prime is 102679230107. The reversal of 102679230096 is 690032976201.

It is a happy number.

The square root of 102679230096 is 320436.

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

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 2387889051 + ... + 2387889093.

Almost surely, 2102679230096 is an apocalyptic number.

102679230096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102679230096 is the 320436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102679230096

102679230096 is an abundant number, since it is smaller than the sum of its proper divisors (216677939763).

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

102679230096 is an frugal number, since it uses more digits than its factorization.

102679230096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 102679230096 in words is "one hundred two billion, six hundred seventy-nine million, two hundred thirty thousand, ninety-six".