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20461561206560 = 255127884757541
BaseRepresentation
bin1001010011100000101000…
…00101100101011100100000
32200110002212101022012011222
410221300110011211130200
510140220234132102220
6111303524512354212
74211204363366135
oct451602405453440
980402771265158
1020461561206560
116579776962051
122365707545968
13b55694951706
1450a4b838a58c
152573bb0bbe25
hex129c14165720

20461561206560 has 24 divisors (see below), whose sum is σ = 48340438350876. Its totient is φ = 8184624482560.

The previous prime is 20461561206557. The next prime is 20461561206563. The reversal of 20461561206560 is 6560216516402.

It is an interprime number because it is at equal distance from previous prime (20461561206557) and next prime (20461561206563).

It can be written as a sum of positive squares in 2 ways, for example, as 20205780167056 + 255781039504 = 4495084^2 + 505748^2 .

It is a super-2 number, since 2×204615612065602 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20461561206563) 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 3 ways as a sum of consecutive naturals, for example, 63942378611 + ... + 63942378930.

Almost surely, 220461561206560 is an apocalyptic number.

20461561206560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20461561206560 is an abundant number, since it is smaller than the sum of its proper divisors (27878877144316).

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

20461561206560 is a wasteful number, since it uses less digits than its factorization.

20461561206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127884757556 (or 127884757548 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 20461561206560 in words is "twenty trillion, four hundred sixty-one billion, five hundred sixty-one million, two hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 127884757541 255769515082 511539030164 639423787705 1023078060328 1278847575410 2046156120656 2557695150820 4092312241312 5115390301640 10230780603280 20461561206560