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38550105216 = 2732717281207
BaseRepresentation
bin100011111001110000…
…111110110010000000
310200111121211020202200
4203321300332302000
51112422311331331
625413142313200
72533210326210
oct437160766200
9120447736680
1038550105216
1115392590697
12757a428800
13383488455c
141c19bcc240
1510095885e6
hex8f9c3ec80

38550105216 has 192 divisors, whose sum is σ = 134237450880. Its totient is φ = 10366377984.

The previous prime is 38550105203. The next prime is 38550105247. The reversal of 38550105216 is 61250105583.

It is a happy number.

38550105216 is a `hidden beast` number, since 3 + 85 + 50 + 1 + 0 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×385501052162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3516 + ... + 277691.

It is an arithmetic number, because the mean of its divisors is an integer number (699153390).

Almost surely, 238550105216 is an apocalyptic number.

38550105216 is a gapful number since it is divisible by the number (36) 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 38550105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67118725440).

38550105216 is an abundant number, since it is smaller than the sum of its proper divisors (95687345664).

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

38550105216 is a wasteful number, since it uses less digits than its factorization.

38550105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281251 (or 281236 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 38550105216 in words is "thirty-eight billion, five hundred fifty million, one hundred five thousand, two hundred sixteen".