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38153418241 = 1953292
BaseRepresentation
bin100011100010000111…
…101111011000000001
310122110222101110112111
4203202013233120001
51111114233340431
625305532055321
72520322463341
oct434207573001
9118428343474
1038153418241
11151a9678914
127489604541
1337a0632c33
141bbd24ad21
15ed482b7b1
hex8e21ef601

38153418241 has 3 divisors (see below), whose sum is σ = 38153613571. Its totient is φ = 38153222912.

The previous prime is 38153418239. The next prime is 38153418269. The reversal of 38153418241 is 14281435183.

The square root of 38153418241 is 195329.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14281435183 = 67213155749.

It can be written as a sum of positive squares in only one way, i.e., 22237072641 + 15916345600 = 149121^2 + 126160^2 .

It is not a de Polignac number, because 38153418241 - 21 = 38153418239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38153418194 and 38153418203.

It is not an unprimeable number, because it can be changed into a prime (38153418221) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 97665 + ... + 292993.

Almost surely, 238153418241 is an apocalyptic number.

38153418241 is the 195329-th square number.

38153418241 is the 97665-th centered octagonal number.

It is an amenable number.

38153418241 is a deficient number, since it is larger than the sum of its proper divisors (195330).

38153418241 is an frugal number, since it uses more digits than its factorization.

38153418241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390658 (or 195329 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The spelling of 38153418241 in words is "thirty-eight billion, one hundred fifty-three million, four hundred eighteen thousand, two hundred forty-one".

Divisors: 1 195329 38153418241