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19692138070080 = 263457372933311
BaseRepresentation
bin1000111101000111011101…
…11001010000000001000000
32120201112211221221001120000
410132203232321100001000
510040113444321220310
6105514235432320000
74101465352550610
oct436435671200100
976645757831500
1019692138070080
1163024306274a3
122260575243000
13acac64724ab8
144c1166d12a40
152423873a14c0
hex11e8eee50040

19692138070080 has 560 divisors, whose sum is σ = 82218998839296. Its totient is φ = 4379408363520.

The previous prime is 19692138070079. The next prime is 19692138070081. The reversal of 19692138070080 is 8007083129691.

19692138070080 is a `hidden beast` number, since 196 + 9 + 2 + 1 + 380 + 70 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19692138070079) and next prime (19692138070081).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 19692138069999 and 19692138070026.

It is not an unprimeable number, because it can be changed into a prime (19692138070081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5246625 + ... + 8179935.

Almost surely, 219692138070080 is an apocalyptic number.

19692138070080 is a gapful number since it is divisible by the number (10) 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 19692138070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41109499419648).

19692138070080 is an abundant number, since it is smaller than the sum of its proper divisors (62526860769216).

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

19692138070080 is a wasteful number, since it uses less digits than its factorization.

19692138070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933384 (or 2933365 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 19692138070080 in words is "nineteen trillion, six hundred ninety-two billion, one hundred thirty-eight million, seventy thousand, eighty".