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38465507700 = 22325242739453
BaseRepresentation
bin100011110100101110…
…010001000101110100
310200021201122020210100
4203310232101011310
51112234132221300
625400521154100
72531132264214
oct436456210564
9120251566710
1038465507700
111534985a294
12755602b930
1338201a4659
141c0c88a244
151001e27700
hex8f4b91174

38465507700 has 54 divisors (see below), whose sum is σ = 120567999734. Its totient is φ = 10257468480.

The previous prime is 38465507659. The next prime is 38465507723. The reversal of 38465507700 is 770556483.

38465507700 is a `hidden beast` number, since 3 + 84 + 65 + 507 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 772061796 + 37693445904 = 27786^2 + 194148^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 21368827 + ... + 21370626.

Almost surely, 238465507700 is an apocalyptic number.

38465507700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38465507700 is an abundant number, since it is smaller than the sum of its proper divisors (82102492034).

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

38465507700 is a wasteful number, since it uses less digits than its factorization.

38465507700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42739473 (or 42739463 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 38465507700 in words is "thirty-eight billion, four hundred sixty-five million, five hundred seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 42739453 85478906 128218359 170957812 213697265 256436718 384655077 427394530 512873436 641091795 769310154 854789060 1068486325 1282183590 1538620308 1923275385 2136972650 2564367180 3205458975 3846550770 4273945300 6410917950 7693101540 9616376925 12821835900 19232753850 38465507700