Search a number
-
+
381017106504 = 23325291904257
BaseRepresentation
bin1011000101101100110…
…00111010100001001000
31100102110201220110120100
411202312120322201020
522220310334402004
6451011542525400
736345646653126
oct5426630724110
91312421813510
10381017106504
11137652250571
1261a15a36860
1329c118acc98
1414626ddc916
159da00dc739
hex58b663a848

381017106504 has 24 divisors (see below), whose sum is σ = 1031921330310. Its totient is φ = 127005702144.

The previous prime is 381017106497. The next prime is 381017106511. The reversal of 381017106504 is 405601710183.

381017106504 is a `hidden beast` number, since 3 + 81 + 0 + 1 + 71 + 0 + 6 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (381017106497) and next prime (381017106511).

It can be written as a sum of positive squares in only one way, i.e., 338828768100 + 42188338404 = 582090^2 + 205398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 2645952057 + ... + 2645952200.

Almost surely, 2381017106504 is an apocalyptic number.

It is an amenable number.

381017106504 is an abundant number, since it is smaller than the sum of its proper divisors (650904223806).

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

381017106504 is a wasteful number, since it uses less digits than its factorization.

381017106504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291904269 (or 5291904262 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 381017106504 its reverse (405601710183), we get a palindrome (786618816687).

The spelling of 381017106504 in words is "three hundred eighty-one billion, seventeen million, one hundred six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5291904257 10583808514 15875712771 21167617028 31751425542 42335234056 47627138313 63502851084 95254276626 127005702168 190508553252 381017106504