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19716113120089 = 1632272412
BaseRepresentation
bin1000111101110100000111…
…11010110011101101011001
32120210211201211012210022011
410132322003322303231121
510041012044424320324
6105533242441025521
74103304443244601
oct436720372635531
976724654183264
1019716113120089
116311613949411
1222651464852a1
13b002b57c6919
144c239d0d5c01
15242cdc0b4c94
hex11ee83eb3b59

19716113120089 has 9 divisors (see below), whose sum is σ = 19838541201759. Its totient is φ = 19594436045040.

The previous prime is 19716113120071. The next prime is 19716113120107. The reversal of 19716113120089 is 98002131161791.

It is a happy number.

The square root of 19716113120089 is 4440283.

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

It is an interprime number because it is at equal distance from previous prime (19716113120071) and next prime (19716113120107).

It can be written as a sum of positive squares in only one way, i.e., 19669819294489 + 46293825600 = 4435067^2 + 215160^2 .

It is not a de Polignac number, because 19716113120089 - 211 = 19716113118041 is a prime.

It is a super-3 number, since 3×197161131200893 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19716113120029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 723752509 + ... + 723779749.

It is an arithmetic number, because the mean of its divisors is an integer number (2204282355751).

Almost surely, 219716113120089 is an apocalyptic number.

19716113120089 is the 4440283-rd square number.

19716113120089 is the 2220142-nd centered octagonal number.

It is an amenable number.

19716113120089 is a deficient number, since it is larger than the sum of its proper divisors (122428081670).

19716113120089 is an frugal number, since it uses more digits than its factorization.

19716113120089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54808 (or 27404 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 49.

Multiplying 19716113120089 by its sum of digits (49), we get a square (966089542884361 = 310819812).

The spelling of 19716113120089 in words is "nineteen trillion, seven hundred sixteen billion, one hundred thirteen million, one hundred twenty thousand, eighty-nine".

Divisors: 1 163 26569 27241 4440283 723766129 742072081 120957749203 19716113120089