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128417681 = 7211532273
BaseRepresentation
bin1111010011101…
…11111110010001
322221122021221102
413221313332101
5230333331211
620424234145
73116350400
oct751677621
9287567842
10128417681
1166541117
123700b955
13207b34c2
14130ab637
15b419a3b
hex7a77f91

128417681 has 12 divisors (see below), whose sum is σ = 149579172. Its totient is φ = 109928448.

The previous prime is 128417659. The next prime is 128417687. The reversal of 128417681 is 186714821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108347281 + 20070400 = 10409^2 + 4480^2 .

It is a de Polignac number, because none of the positive numbers 2k-128417681 is a prime.

It is a super-2 number, since 2×1284176812 = 32982201586835522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128417687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55361 + ... + 57633.

It is an arithmetic number, because the mean of its divisors is an integer number (12464931).

Almost surely, 2128417681 is an apocalyptic number.

It is an amenable number.

128417681 is a deficient number, since it is larger than the sum of its proper divisors (21161491).

128417681 is a wasteful number, since it uses less digits than its factorization.

128417681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3433 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 128417681 is about 11332.1525316243. The cubic root of 128417681 is about 504.5159967464.

The spelling of 128417681 in words is "one hundred twenty-eight million, four hundred seventeen thousand, six hundred eighty-one".

Divisors: 1 7 49 1153 2273 8071 15911 56497 111377 2620769 18345383 128417681