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38225019008 = 2711215712
BaseRepresentation
bin100011100110011000…
…111000000010000000
310122122222010011022202
4203212120320002000
51111241101102013
625321010452332
72522152205051
oct434630700200
9118588104282
1038225019008
1115236032600
1274a95940a8
1337b2412257
141bc8968728
15edac71858
hex8e6638080

38225019008 has 72 divisors (see below), whose sum is σ = 83756924895. Its totient is φ = 17363948800.

The previous prime is 38225018939. The next prime is 38225019011. The reversal of 38225019008 is 80091052283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19112509504 + 19112509504 = 138248^2 + 138248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138248.

It is a super-2 number, since 2×382250190082 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24330863 + ... + 24332433.

Almost surely, 238225019008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38225019008

38225019008 is an abundant number, since it is smaller than the sum of its proper divisors (45531905887).

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

38225019008 is an frugal number, since it uses more digits than its factorization.

38225019008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 38225019008 in words is "thirty-eight billion, two hundred twenty-five million, nineteen thousand, eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1571 1936 3142 3872 6284 7744 12568 15488 17281 25136 34562 50272 69124 100544 138248 190091 201088 276496 380182 552992 760364 1105984 1520728 2211968 2468041 3041456 4936082 6082912 9872164 12165824 19744328 24331648 27148451 39488656 54296902 78977312 108593804 157954624 217187608 298632961 315909248 434375216 597265922 868750432 1194531844 1737500864 2389063688 3475001728 4778127376 9556254752 19112509504 38225019008