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20626988832 = 253299771837
BaseRepresentation
bin10011001101011101…
…101101111100100000
31222020112022121020100
4103031131231330200
5314221002120312
613250443542400
71330104340452
oct231535557440
958215277210
1020626988832
11882544100a
123bb7b2aa00
131c39562a48
14dd96962d2
1580ad1a5dc
hex4cd76df20

20626988832 has 72 divisors (see below), whose sum is σ = 58717651356. Its totient is φ = 6868670976.

The previous prime is 20626988831. The next prime is 20626988873. The reversal of 20626988832 is 23888962602.

20626988832 is a `hidden beast` number, since 2 + 0 + 626 + 9 + 8 + 8 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19500446736 + 1126542096 = 139644^2 + 33564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20626988831) 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 11 ways as a sum of consecutive naturals, for example, 251218 + ... + 323054.

Almost surely, 220626988832 is an apocalyptic number.

It is an amenable number.

20626988832 is an abundant number, since it is smaller than the sum of its proper divisors (38090662524).

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

20626988832 is a wasteful number, since it uses less digits than its factorization.

20626988832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72850 (or 72839 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 20626988832 in words is "twenty billion, six hundred twenty-six million, nine hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 997 1994 2991 3988 5982 7976 8973 11964 15952 17946 23928 31904 35892 47856 71784 71837 95712 143568 143674 215511 287136 287348 431022 574696 646533 862044 1149392 1293066 1724088 2298784 2586132 3448176 5172264 6896352 10344528 20689056 71621489 143242978 214864467 286485956 429728934 572971912 644593401 859457868 1145943824 1289186802 1718915736 2291887648 2578373604 3437831472 5156747208 6875662944 10313494416 20626988832