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38825524507477 = 2910555011268413
BaseRepresentation
bin10001101001111110001011…
…00110001011001101010101
312002110200110120002020010211
420310333011212023031111
520042104133233214402
6214324111050245421
711115023456060251
oct1064770546131525
9162420416066124
1038825524507477
11114098a3450264
124430791726871
13188830109c326
14983245c6d261
15474e1acad4d7
hex234fc598b355

38825524507477 has 8 divisors (see below), whose sum is σ = 40164405414840. Its totient is φ = 37486648248000.

The previous prime is 38825524507433. The next prime is 38825524507489. The reversal of 38825524507477 is 77470542552883.

It can be written as a sum of positive squares in 4 ways, for example, as 4411978421841 + 34413546085636 = 2100471^2 + 5866306^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38825524507477 - 219 = 38825523983189 is a prime.

It is a super-3 number, since 3×388255245074773 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38825524507417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29975323 + ... + 31243735.

It is an arithmetic number, because the mean of its divisors is an integer number (5020550676855).

Almost surely, 238825524507477 is an apocalyptic number.

It is an amenable number.

38825524507477 is a deficient number, since it is larger than the sum of its proper divisors (1338880907363).

38825524507477 is a wasteful number, since it uses less digits than its factorization.

38825524507477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323943.

The product of its (nonzero) digits is 526848000, while the sum is 67.

The spelling of 38825524507477 in words is "thirty-eight trillion, eight hundred twenty-five billion, five hundred twenty-four million, five hundred seven thousand, four hundred seventy-seven".

Divisors: 1 29 1055501 1268413 30609529 36783977 1338811189913 38825524507477