Search a number
-
+
3753468036 = 2232104263001
BaseRepresentation
bin1101111110111001…
…0110000010000100
3100200120210221011200
43133232112002010
530141341434121
61420241502500
7162004644333
oct33756260204
910616727150
103753468036
11165680a0aa
12889041a30
1347a824706
142786dbd1a
1516e7c8a26
hexdfb96084

3753468036 has 18 divisors (see below), whose sum is σ = 9487933182. Its totient is φ = 1251156000.

The previous prime is 3753468023. The next prime is 3753468091. The reversal of 3753468036 is 6308643573.

3753468036 is a `hidden beast` number, since 3 + 7 + 534 + 6 + 80 + 36 = 666.

3753468036 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3672360000 + 81108036 = 60600^2 + 9006^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 3753467982 and 3753468000.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52131465 + ... + 52131536.

It is an arithmetic number, because the mean of its divisors is an integer number (527107399).

Almost surely, 23753468036 is an apocalyptic number.

3753468036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3753468036 is an abundant number, since it is smaller than the sum of its proper divisors (5734465146).

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

3753468036 is a wasteful number, since it uses less digits than its factorization.

3753468036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104263011 (or 104263006 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3753468036 is about 61265.5534211518. The cubic root of 3753468036 is about 1554.0950384873.

It can be divided in two parts, 37534 and 68036, that added together give a triangular number (105570 = T459).

The spelling of 3753468036 in words is "three billion, seven hundred fifty-three million, four hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 104263001 208526002 312789003 417052004 625578006 938367009 1251156012 1876734018 3753468036