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20320661032 = 2372373138977
BaseRepresentation
bin10010111011001101…
…001010111000101000
31221110011220112111021
4102323031022320220
5313104042123112
613200222142224
71316364524500
oct227315127050
957404815437
1020320661032
118688535441
123b31421974
131bbac5a9a9
14daab16a00
157ddeab907
hex4bb34ae28

20320661032 has 48 divisors (see below), whose sum is σ = 44440995060. Its totient is φ = 8685444096.

The previous prime is 20320661029. The next prime is 20320661057. The reversal of 20320661032 is 23016602302.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18029507076 + 2291153956 = 134274^2 + 47866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20320660988 and 20320661006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76728 + ... + 215704.

Almost surely, 220320661032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20320661032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220497530).

20320661032 is an abundant number, since it is smaller than the sum of its proper divisors (24120334028).

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

20320661032 is a wasteful number, since it uses less digits than its factorization.

20320661032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139370 (or 139359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The spelling of 20320661032 in words is "twenty billion, three hundred twenty million, six hundred sixty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 373 392 746 1492 2611 2984 5222 10444 18277 20888 36554 73108 138977 146216 277954 555908 972839 1111816 1945678 3891356 6809873 7782712 13619746 27239492 51838421 54478984 103676842 207353684 362868947 414707368 725737894 1451475788 2540082629 2902951576 5080165258 10160330516 20320661032