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20320633120 = 255177470821
BaseRepresentation
bin10010111011001101…
…000100000100100000
31221110011212010012111
4102323031010010200
5313104040224440
613200221405104
71316364350224
oct227315040440
957404763174
1020320633120
118688516477
123b31409794
131bbac4b088
14daab0a784
157ddea34ea
hex4bb344120

20320633120 has 48 divisors (see below), whose sum is σ = 50831472888. Its totient is φ = 7650119680.

The previous prime is 20320633117. The next prime is 20320633129. The reversal of 20320633120 is 2133602302.

It can be written as a sum of positive squares in 4 ways, for example, as 20103836944 + 216796176 = 141788^2 + 14724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20320633091 and 20320633100.

It is not an unprimeable number, because it can be changed into a prime (20320633129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3732691 + ... + 3738130.

Almost surely, 220320633120 is an apocalyptic number.

20320633120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320633120 is an abundant number, since it is smaller than the sum of its proper divisors (30510839768).

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

20320633120 is a wasteful number, since it uses less digits than its factorization.

20320633120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7470853 (or 7470845 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The spelling of 20320633120 in words is "twenty billion, three hundred twenty million, six hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 7470821 14941642 29883284 37354105 59766568 74708210 119533136 127003957 149416420 239066272 254007914 298832840 508015828 597665680 635019785 1016031656 1195331360 1270039570 2032063312 2540079140 4064126624 5080158280 10160316560 20320633120