Search a number
-
+
3769938706689 = 342157372
BaseRepresentation
bin110110110111000001110…
…110111000000100000001
3111100101212111210002110000
4312313001312320010001
5443231313302103224
612003515210030213
7536240411165421
oct66670166700401
914311774702400
103769938706689
111223905132911
1250a780a18369
1321467180394c
14d0674a1a481
15680e88510c9
hex36dc1db8101

3769938706689 has 15 divisors (see below), whose sum is σ = 5631662937747. Its totient is φ = 2513280821328.

The previous prime is 3769938706687. The next prime is 3769938706691. The reversal of 3769938706689 is 9866078399673.

The square root of 3769938706689 is 1941633.

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

3769938706689 is a `hidden beast` number, since 3 + 76 + 99 + 387 + 0 + 6 + 6 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (3769938706687) and next prime (3769938706691).

It can be written as a sum of positive squares in only one way, i.e., 3739176353025 + 30762353664 = 1933695^2 + 175392^2 .

It is not a de Polignac number, because 3769938706689 - 21 = 3769938706687 is a prime.

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 (3769938706687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17366829 + ... + 17582565.

Almost surely, 23769938706689 is an apocalyptic number.

3769938706689 is the 1941633-rd square number.

3769938706689 is the 970817-th centered octagonal number.

It is an amenable number.

3769938706689 is a deficient number, since it is larger than the sum of its proper divisors (1861724231058).

3769938706689 is an frugal number, since it uses more digits than its factorization.

3769938706689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431486 (or 215740 counting only the distinct ones).

The product of its (nonzero) digits is 4444263936, while the sum is 81.

Multiplying 3769938706689 by its sum of digits (81), we get a square (305365035241809 = 174746972).

3769938706689 divided by its sum of digits (81) gives a square (46542453169 = 2157372).

The spelling of 3769938706689 in words is "three trillion, seven hundred sixty-nine billion, nine hundred thirty-eight million, seven hundred six thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 81 215737 647211 1941633 5824899 17474697 46542453169 139627359507 418882078521 1256646235563 3769938706689