Search a number
-
+
38860329553921 = 3739721433123433
BaseRepresentation
bin10001101010111111000000…
…01000111001000000000001
312002121000022011220210002001
420311133200020321000001
520043141423331211141
6214352104451224001
711120365123065001
oct1065374010710001
9162530264823061
1038860329553921
1111422633a45857
1244374858a8001
13188b689ab4975
14984bc850c001
15475ca667ea31
hex2357e0239001

38860329553921 has 16 divisors (see below), whose sum is σ = 40013330200144. Its totient is φ = 37712745759744.

The previous prime is 38860329553907. The next prime is 38860329553931. The reversal of 38860329553921 is 12935592306883.

It can be written as a sum of positive squares in 8 ways, for example, as 657558810000 + 38202770743921 = 810900^2 + 6180839^2 .

It is not a de Polignac number, because 38860329553921 - 211 = 38860329551873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38860329553901) 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 15 ways as a sum of consecutive naturals, for example, 314767621 + ... + 314891053.

It is an arithmetic number, because the mean of its divisors is an integer number (2500833137509).

Almost surely, 238860329553921 is an apocalyptic number.

It is an amenable number.

38860329553921 is a deficient number, since it is larger than the sum of its proper divisors (1153000646223).

38860329553921 is a wasteful number, since it uses less digits than its factorization.

38860329553921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145300.

The product of its (nonzero) digits is 83980800, while the sum is 64.

The spelling of 38860329553921 in words is "thirty-eight trillion, eight hundred sixty billion, three hundred twenty-nine million, five hundred fifty-three thousand, nine hundred twenty-one".

Divisors: 1 37 397 14689 21433 123433 793021 4567021 8508901 49002901 314829337 1813107337 2645539489 97884961093 1050279177133 38860329553921