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38055680600 = 23527316011459
BaseRepresentation
bin100011011100010010…
…111001101001011000
310122020011110212200212
4203130102321221120
51110414223234400
625252121150252
72515024643060
oct433422715130
9118204425625
1038055680600
1115159492103
12746092b388
133786302102
141bb02883a0
15ecae72335
hex8dc4b9a58

38055680600 has 192 divisors, whose sum is σ = 104626636800. Its totient is φ = 12597120000.

The previous prime is 38055680587. The next prime is 38055680603. The reversal of 38055680600 is 608655083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38055680603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26082671 + ... + 26084129.

It is an arithmetic number, because the mean of its divisors is an integer number (544930400).

Almost surely, 238055680600 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 38055680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52313318400).

38055680600 is an abundant number, since it is smaller than the sum of its proper divisors (66570956200).

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

38055680600 is a wasteful number, since it uses less digits than its factorization.

38055680600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 38055680600 in words is "thirty-eight billion, fifty-five million, six hundred eighty thousand, six hundred".