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363640000040 = 23510190009901
BaseRepresentation
bin1010100101010101010…
…00100000111000101000
31021202121200210222211122
411102222220200320220
521424213320000130
6435015351114412
735162224000142
oct5225250407050
91252550728748
10363640000040
11130245333259
125a586372a08
13283a2732775
14138591d7c92
1596d47752e5
hex54aaa20e28

363640000040 has 32 divisors (see below), whose sum is σ = 826290900360. Its totient is φ = 144015840000.

The previous prime is 363640000039. The next prime is 363640000051. The reversal of 363640000040 is 40000046363.

It can be written as a sum of positive squares in 4 ways, for example, as 305700621604 + 57939378436 = 552902^2 + 240706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 363639999964 and 363640000009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45000911 + ... + 45008990.

Almost surely, 2363640000040 is an apocalyptic number.

It is an amenable number.

363640000040 is an abundant number, since it is smaller than the sum of its proper divisors (462650900320).

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

363640000040 is a wasteful number, since it uses less digits than its factorization.

363640000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90010013 (or 90010009 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 363640000040 in words is "three hundred sixty-three billion, six hundred forty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 90009901 180019802 360039604 450049505 720079208 900099010 1800198020 3600396040 9091000001 18182000002 36364000004 45455000005 72728000008 90910000010 181820000020 363640000040