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38204315149 = 7311132393259
BaseRepresentation
bin100011100101001001…
…111001011000001101
310122121112011021222011
4203211021321120031
51111220301041044
625314551021221
72521511215000
oct434511713015
9118545137864
1038204315149
1115225381480
1274a266a811
1337ab043650
141bc5cd9537
15ed9032134
hex8e527960d

38204315149 has 64 divisors (see below), whose sum is σ = 52577280000. Its totient is φ = 27356253120.

The previous prime is 38204315147. The next prime is 38204315167. The reversal of 38204315149 is 94151340283.

It is a happy number.

It is not a de Polignac number, because 38204315149 - 21 = 38204315147 is a prime.

It is a super-2 number, since 2×382043151492 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38204315147) 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 63 ways as a sum of consecutive naturals, for example, 11721082 + ... + 11724340.

It is an arithmetic number, because the mean of its divisors is an integer number (821520000).

Almost surely, 238204315149 is an apocalyptic number.

It is an amenable number.

38204315149 is a deficient number, since it is larger than the sum of its proper divisors (14372964851).

38204315149 is a wasteful number, since it uses less digits than its factorization.

38204315149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

It can be divided in two parts, 38204 and 315149, that added together give a palindrome (353353).

The spelling of 38204315149 in words is "thirty-eight billion, two hundred four million, three hundred fifteen thousand, one hundred forty-nine".

Divisors: 1 7 11 13 49 77 91 143 239 343 539 637 1001 1673 2629 3107 3259 3773 4459 7007 11711 18403 21749 22813 34177 35849 42367 49049 81977 128821 152243 159691 239239 250943 296569 466037 778901 901747 1065701 1117837 1674673 1756601 2075983 3262259 5452307 8567911 10125713 11722711 12296207 14531881 22835813 38166149 59975377 70879991 111382843 159850691 267163043 419827639 496159937 779679901 2938793473 3473119559 5457759307 38204315149