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20511677040 = 243585465321
BaseRepresentation
bin10011000110100101…
…110101101001110000
31221221111100011012020
4103012211311221300
5314001442131130
613231204231440
71324204243461
oct230645655160
957844304166
1020511677040
118776341608
123b8539b580
131c1b6baa0a
14dc823ad68
15800b3de10
hex4c6975a70

20511677040 has 40 divisors (see below), whose sum is σ = 63586199568. Its totient is φ = 5469780480.

The previous prime is 20511677033. The next prime is 20511677047. The reversal of 20511677040 is 4077611502.

It is an interprime number because it is at equal distance from previous prime (20511677033) and next prime (20511677047).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 20511676992 and 20511677010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20511677047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42732421 + ... + 42732900.

Almost surely, 220511677040 is an apocalyptic number.

20511677040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20511677040 is an abundant number, since it is smaller than the sum of its proper divisors (43074522528).

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

20511677040 is a wasteful number, since it uses less digits than its factorization.

20511677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85465337 (or 85465331 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 20511677040 in words is "twenty billion, five hundred eleven million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 85465321 170930642 256395963 341861284 427326605 512791926 683722568 854653210 1025583852 1281979815 1367445136 1709306420 2051167704 2563959630 3418612840 4102335408 5127919260 6837225680 10255838520 20511677040