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3672844816 = 2410921392
BaseRepresentation
bin1101101011101011…
…0010101000010000
3100110222002211220111
43122322302220100
530010222013231
61404241451104
7160005444244
oct33272625020
910428084814
103672844816
111615252743
12866040a94
13466c06774
1426bb12424
151676a04b1
hexdaeb2a10

3672844816 has 45 divisors (see below), whose sum is σ = 7234062381. Its totient is φ = 1806484032.

The previous prime is 3672844811. The next prime is 3672844817. The reversal of 3672844816 is 6184482763.

The square root of 3672844816 is 60604.

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

It can be written as a sum of positive squares in only one way, i.e., 2559955216 + 1112889600 = 50596^2 + 33360^2 .

It is a Duffinian number.

Its product of digits (1548288) is a multiple of the sum of its prime factors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 3672844816.

It is not an unprimeable number, because it can be changed into a prime (3672844811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26423275 + ... + 26423413.

Almost surely, 23672844816 is an apocalyptic number.

3672844816 is the 60604-th square number.

It is an amenable number.

3672844816 is a deficient number, since it is larger than the sum of its proper divisors (3561217565).

3672844816 is an equidigital number, since it uses as much as digits as its factorization.

3672844816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 250 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 49.

The cubic root of 3672844816 is about 1542.8872601280.

Multiplying 3672844816 by its sum of digits (49), we get a square (179969395984 = 4242282).

It can be divided in two parts, 367284 and 4816, that added together give a square (372100 = 6102).

The spelling of 3672844816 in words is "three billion, six hundred seventy-two million, eight hundred forty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 109 139 218 278 436 556 872 1112 1744 2224 11881 15151 19321 23762 30302 38642 47524 60604 77284 95048 121208 154568 190096 242416 309136 1651459 2105989 3302918 4211978 6605836 8423956 13211672 16847912 26423344 33695824 229552801 459105602 918211204 1836422408 3672844816