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289328696118 = 23371171983997
BaseRepresentation
bin1000011010111010101…
…01011000101100110110
31000122210210222121211000
410031131111120230312
514220021121233433
6340525450024130
726621556224250
oct4153525305466
91018723877730
10289328696118
111017815627a0
12480a7718046
132138c03b707
1410009b94cd0
1577d58eb113
hex435d558b36

289328696118 has 256 divisors, whose sum is σ = 814536622080. Its totient is φ = 73942243200.

The previous prime is 289328696117. The next prime is 289328696123. The reversal of 289328696118 is 811696823982.

289328696118 is a `hidden beast` number, since 2 + 8 + 9 + 3 + 2 + 8 + 6 + 9 + 611 + 8 = 666.

It is a super-2 number, since 2×2893286961182 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289328696117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290198796 + ... + 290199792.

It is an arithmetic number, because the mean of its divisors is an integer number (3181783680).

Almost surely, 2289328696118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289328696118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407268311040).

289328696118 is an abundant number, since it is smaller than the sum of its proper divisors (525207925962).

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

289328696118 is a wasteful number, since it uses less digits than its factorization.

289328696118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 289328696118 in words is "two hundred eighty-nine billion, three hundred twenty-eight million, six hundred ninety-six thousand, one hundred eighteen".