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38114784168 = 23319419199487
BaseRepresentation
bin100011011111110100…
…010111001110101000
310122101021200122112220
4203133310113032220
51111024341043133
625302032034040
72516343214506
oct433764271650
9118337618486
1038114784168
111518989052a
127478692920
133795627036
141bb8071676
15ed12495b3
hex8dfd173a8

38114784168 has 64 divisors (see below), whose sum is σ = 100541952000. Its totient is φ = 12007461312.

The previous prime is 38114784131. The next prime is 38114784173. The reversal of 38114784168 is 86148741183.

It is a self number, because there is not a number n which added to its sum of digits gives 38114784168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91321 + ... + 290807.

It is an arithmetic number, because the mean of its divisors is an integer number (1570968000).

Almost surely, 238114784168 is an apocalyptic number.

38114784168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38114784168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50270976000).

38114784168 is an abundant number, since it is smaller than the sum of its proper divisors (62427167832).

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

38114784168 is a wasteful number, since it uses less digits than its factorization.

38114784168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199934 (or 199930 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The spelling of 38114784168 in words is "thirty-eight billion, one hundred fourteen million, seven hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 419 456 838 1257 1676 2514 3352 5028 7961 10056 15922 23883 31844 47766 63688 95532 191064 199487 398974 598461 797948 1196922 1595896 2393844 3790253 4787688 7580506 11370759 15161012 22741518 30322024 45483036 83585053 90966072 167170106 250755159 334340212 501510318 668680424 1003020636 1588116007 2006041272 3176232014 4764348021 6352464028 9528696042 12704928056 19057392084 38114784168