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129739799323008 = 27347229337283
BaseRepresentation
bin11101011111111101100110…
…101001101110000110000000
3122000101000002200112100110000
4131133331212221232012000
5114001124102111314013
61135533350242240000
736220251113352600
oct3537754651560600
9560330080470400
10129739799323008
1138380381454416
1212674538356000
135751545075664
142407622b0ac00
15eeec6ae81973
hex75ff66a6e180

129739799323008 has 1920 divisors, whose sum is σ = 479441572711200. Its totient is φ = 34699934932992.

The previous prime is 129739799323007. The next prime is 129739799323009. The reversal of 129739799323008 is 800323997937921.

129739799323008 is a `hidden beast` number, since 1 + 2 + 97 + 397 + 99 + 32 + 30 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (129739799323007) and next prime (129739799323009).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129739799323003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 458444520435 + ... + 458444520717.

Almost surely, 2129739799323008 is an apocalyptic number.

129739799323008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129739799323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239720786355600).

129739799323008 is an abundant number, since it is smaller than the sum of its proper divisors (349701773388192).

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

129739799323008 is an frugal number, since it uses more digits than its factorization.

129739799323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 129739799323008 in words is "one hundred twenty-nine trillion, seven hundred thirty-nine billion, seven hundred ninety-nine million, three hundred twenty-three thousand, eight".