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38120418243 = 3214872848421
BaseRepresentation
bin100011100000001001…
…110110101111000011
310122101200021220001100
4203200021312233003
51111032311340433
625302352505443
72516442131415
oct434011665703
9118350256040
1038120418243
1115191a89496
12747a54b283
13379684a5cb
141bb8ada9b5
15ed19adb13
hex8e0276bc3

38120418243 has 12 divisors (see below), whose sum is σ = 55099875168. Its totient is φ = 25396512720.

The previous prime is 38120418239. The next prime is 38120418269. The reversal of 38120418243 is 34281402183.

It is a happy number.

38120418243 is a `hidden beast` number, since 381 + 20 + 4 + 18 + 243 = 666.

It is not a de Polignac number, because 38120418243 - 22 = 38120418239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38120418198 and 38120418207.

It is not an unprimeable number, because it can be changed into a prime (38120418223) 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 11 ways as a sum of consecutive naturals, for example, 1410828 + ... + 1437593.

It is an arithmetic number, because the mean of its divisors is an integer number (4591656264).

Almost surely, 238120418243 is an apocalyptic number.

38120418243 is a deficient number, since it is larger than the sum of its proper divisors (16979456925).

38120418243 is a wasteful number, since it uses less digits than its factorization.

38120418243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849914 (or 2849911 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 38120418243 in words is "thirty-eight billion, one hundred twenty million, four hundred eighteen thousand, two hundred forty-three".

Divisors: 1 3 9 1487 4461 13383 2848421 8545263 25635789 4235602027 12706806081 38120418243