Search a number
-
+
3869812889856 = 28341927192
BaseRepresentation
bin111000010100000010110…
…100101001100100000000
3111200221122220200021110000
4320110002310221210000
51001400334044433411
612121433440240000
7546404366555124
oct70240264514400
914627586607400
103869812889856
1112621a6543961
12525bb4610000
13220bca230954
14d542b089584
156a9e19d6956
hex38502d29900

3869812889856 has 405 divisors, whose sum is σ = 12195327620091. Its totient is φ = 1220346528768.

The previous prime is 3869812889851. The next prime is 3869812889857. The reversal of 3869812889856 is 6589882189683.

The square root of 3869812889856 is 1967184.

It is a perfect power (a square), and thus also a powerful number.

3869812889856 is a `hidden beast` number, since 386 + 9 + 81 + 2 + 8 + 89 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (3869812889851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5382215065 + ... + 5382215783.

Almost surely, 23869812889856 is an apocalyptic number.

3869812889856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3869812889856 is the 1967184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3869812889856

3869812889856 is an abundant number, since it is smaller than the sum of its proper divisors (8325514730235).

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

3869812889856 is an frugal number, since it uses more digits than its factorization.

3869812889856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 743 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 81.

Multiplying 3869812889856 by its sum of digits (81), we get a square (313454844078336 = 177046562).

3869812889856 divided by its sum of digits (81) gives a square (47775467776 = 2185762).

It can be divided in two parts, 38698128 and 89856, that added together give a square (38787984 = 62282).

The spelling of 3869812889856 in words is "three trillion, eight hundred sixty-nine billion, eight hundred twelve million, eight hundred eighty-nine thousand, eight hundred fifty-six".