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36623144132 = 22176110981001
BaseRepresentation
bin100010000110111010…
…001101010011000100
310111112022220111002122
4202012322031103010
51100001011103012
624454025025112
72434361405651
oct420672152304
9114468814078
1036623144132
11145938a0273
127121025198
1335b85a0cb3
141ab5d06c28
15e45301e72
hex886e8d4c4

36623144132 has 48 divisors (see below), whose sum is σ = 69606638640. Its totient is φ = 16796160000.

The previous prime is 36623144059. The next prime is 36623144141. The reversal of 36623144132 is 23144132663.

It can be written as a sum of positive squares in 8 ways, for example, as 923308996 + 35699835136 = 30386^2 + 188944^2 .

It is a super-2 number, since 2×366231441322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36623144092 and 36623144101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411632 + ... + 492632.

It is an arithmetic number, because the mean of its divisors is an integer number (1450138305).

Almost surely, 236623144132 is an apocalyptic number.

It is an amenable number.

36623144132 is a deficient number, since it is larger than the sum of its proper divisors (32983494508).

36623144132 is a wasteful number, since it uses less digits than its factorization.

36623144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81192 (or 81190 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

Adding to 36623144132 its reverse (23144132663), we get a palindrome (59767276795).

The spelling of 36623144132 in words is "thirty-six billion, six hundred twenty-three million, one hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 61 68 109 122 218 244 436 1037 1853 2074 3706 4148 6649 7412 13298 26596 81001 113033 162002 226066 324004 452132 1377017 2754034 4941061 5508068 8829109 9882122 17658218 19764244 35316436 83998037 150094853 167996074 300189706 335992148 538575649 600379412 1077151298 2154302596 9155786033 18311572066 36623144132