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20677207120 = 245258465089
BaseRepresentation
bin10011010000011101…
…010010010001010000
31222101000210221202221
4103100131102101100
5314321331111440
613255440150424
71331254234453
oct232035222120
958330727687
1020677207120
118850820829
124010908414
131c46a965cb
14100220949a
15810439d4a
hex4d0752450

20677207120 has 20 divisors (see below), whose sum is σ = 48074506740. Its totient is φ = 8270882816.

The previous prime is 20677207087. The next prime is 20677207157. The reversal of 20677207120 is 2170277602.

It can be written as a sum of positive squares in 2 ways, for example, as 7958780944 + 12718426176 = 89212^2 + 112776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 129232465 + ... + 129232624.

It is an arithmetic number, because the mean of its divisors is an integer number (2403725337).

Almost surely, 220677207120 is an apocalyptic number.

20677207120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20677207120 is an abundant number, since it is smaller than the sum of its proper divisors (27397299620).

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

20677207120 is a wasteful number, since it uses less digits than its factorization.

20677207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258465102 (or 258465096 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 20677207120 in words is "twenty billion, six hundred seventy-seven million, two hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 258465089 516930178 1033860356 1292325445 2067720712 2584650890 4135441424 5169301780 10338603560 20677207120