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2038160096 = 25721937432
BaseRepresentation
bin111100101111011…
…1101101011100000
312021001011021000222
41321132331223200
513133232110341
6534124502212
7101336034500
oct17136755340
95231137028
102038160096
11956540935
1248a6aa968
132663485bb
1415498da00
15bddee44b
hex797bdae0

2038160096 has 216 divisors, whose sum is σ = 5166299880. Its totient is φ = 786433536.

The previous prime is 2038160083. The next prime is 2038160101. The reversal of 2038160096 is 6900618302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47399051 + ... + 47399093.

It is an arithmetic number, because the mean of its divisors is an integer number (23918055).

Almost surely, 22038160096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038160096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583149940).

2038160096 is an abundant number, since it is smaller than the sum of its proper divisors (3128139784).

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

2038160096 is a wasteful number, since it uses less digits than its factorization.

2038160096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 2038160096 is about 45145.9864882804. The cubic root of 2038160096 is about 1267.8837378103.

Adding to 2038160096 its reverse (6900618302), we get a palindrome (8938778398).

The spelling of 2038160096 in words is "two billion, thirty-eight million, one hundred sixty thousand, ninety-six".