Search a number
-
+
20064662600040 = 2332567831868267
BaseRepresentation
bin1001000111111101010110…
…00101100011100101101000
32122001011101211112221020100
410203332223011203211220
510112214412111200130
6110401325002025400
74140424021035462
oct443765305434550
978034354487210
1020064662600040
116436414a53563
1223007baaa8260
13b27121a08756
144d51c6065132
1524bddbae4c60
hex123fab163968

20064662600040 has 96 divisors (see below), whose sum is σ = 66183439402080. Its totient is φ = 5270717333376.

The previous prime is 20064662600027. The next prime is 20064662600077. The reversal of 20064662600040 is 4000626646002.

20064662600040 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 4 + 6 + 6 + 2 + 600 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20064662599968 and 20064662600004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415910014 + ... + 415958253.

It is an arithmetic number, because the mean of its divisors is an integer number (689410827105).

Almost surely, 220064662600040 is an apocalyptic number.

20064662600040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20064662600040 is an abundant number, since it is smaller than the sum of its proper divisors (46118776802040).

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

20064662600040 is a wasteful number, since it uses less digits than its factorization.

20064662600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831868351 (or 831868344 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20064662600040 in words is "twenty trillion, sixty-four billion, six hundred sixty-two million, six hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 831868267 1663736534 2495604801 3327473068 4159341335 4991209602 6654946136 7486814403 8318682670 9982419204 12478024005 14973628806 16637365340 19964838408 24956048010 29947257612 33274730680 37434072015 49912096020 55735173889 59894515224 74868144030 99824192040 111470347778 149736288060 167205521667 222940695556 278675869445 299472576120 334411043334 445881391112 501616565001 557351738890 668822086668 836027608335 1003233130002 1114703477780 1337644173336 1672055216670 2006466260004 2229406955560 2508082825005 3344110433340 4012932520008 5016165650010 6688220866680 10032331300020 20064662600040