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38414505332737 = 413061306089237
BaseRepresentation
bin10001011110000000100101…
…11100011101000000000001
312001000101112220222210010001
420233000102330131000001
520013340401331121422
6213411214035040001
711043233152532332
oct1057002274350001
9161011486883101
1038414505332737
1111270555883886
124384ba4140001
13185861a881a61
1496b3b4448289
154693b1cd9227
hex22f012f1d001

38414505332737 has 8 divisors (see below), whose sum is σ = 39364300363752. Its totient is φ = 37465322486400.

The previous prime is 38414505332683. The next prime is 38414505332747. The reversal of 38414505332737 is 73723350541483.

It can be written as a sum of positive squares in 4 ways, for example, as 124101902961 + 38290403429776 = 352281^2 + 6187924^2 .

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 38414505332737 - 223 = 38414496944129 is a prime.

It is a super-2 number, since 2×384145053327372 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38414505332747) 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 7 ways as a sum of consecutive naturals, for example, 152919118 + ... + 153170119.

It is an arithmetic number, because the mean of its divisors is an integer number (4920537545469).

Almost surely, 238414505332737 is an apocalyptic number.

It is an amenable number.

38414505332737 is a deficient number, since it is larger than the sum of its proper divisors (949795031015).

38414505332737 is a wasteful number, since it uses less digits than its factorization.

38414505332737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306092339.

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 38414505332737 in words is "thirty-eight trillion, four hundred fourteen billion, five hundred five million, three hundred thirty-two thousand, seven hundred thirty-seven".

Divisors: 1 41 3061 125501 306089237 12549658717 936939154457 38414505332737