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128361116070 = 233511223170827
BaseRepresentation
bin111011110001011101…
…0110011000110100110
3110021022201002022112000
41313202322303012212
54100340421203240
6134545052110130
712162623325045
oct1674272630646
9407281068460
10128361116070
114a48a55a400
1220a63a65346
13c1484a6225
1462d997255c
153514033430
hex1de2eb31a6

128361116070 has 192 divisors, whose sum is σ = 392603742720. Its totient is φ = 29764722240.

The previous prime is 128361116057. The next prime is 128361116071. The reversal of 128361116070 is 70611163821.

128361116070 is a `hidden beast` number, since 1 + 2 + 8 + 36 + 1 + 11 + 607 + 0 = 666.

It is a super-2 number, since 2×1283611160702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128361116071) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665997 + ... + 836823.

It is an arithmetic number, because the mean of its divisors is an integer number (2044811160).

Almost surely, 2128361116070 is an apocalyptic number.

128361116070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128361116070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196301871360).

128361116070 is an abundant number, since it is smaller than the sum of its proper divisors (264242626650).

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

128361116070 is a wasteful number, since it uses less digits than its factorization.

128361116070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170888 (or 170871 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 128361116070 its reverse (70611163821), we get a palindrome (198972279891).

The spelling of 128361116070 in words is "one hundred twenty-eight billion, three hundred sixty-one million, one hundred sixteen thousand, seventy".