Search a number
-
+
68081638048080 = 2435283673491867
BaseRepresentation
bin11110111101011011111011…
…10110100000000101010000
322221001112121102011110100220
433132231331312200011100
532410422143320014310
6400444134525113040
720224510313054646
oct1736557566400520
9287045542143326
1068081638048080
111a769295880168
1277768169b8780
132bcb0bca72477
1412b525150b196
157d0e5dbee670
hex3deb7dda0150

68081638048080 has 40 divisors (see below), whose sum is σ = 211053077949792. Its totient is φ = 18155103479424.

The previous prime is 68081638048013. The next prime is 68081638048087. The reversal of 68081638048080 is 8084083618086.

68081638048080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68081638048087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141836745694 + ... + 141836746173.

Almost surely, 268081638048080 is an apocalyptic number.

68081638048080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68081638048080 is an abundant number, since it is smaller than the sum of its proper divisors (142971439901712).

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

68081638048080 is a wasteful number, since it uses less digits than its factorization.

68081638048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283673491883 (or 283673491877 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 60.

The spelling of 68081638048080 in words is "sixty-eight trillion, eighty-one billion, six hundred thirty-eight million, forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283673491867 567346983734 851020475601 1134693967468 1418367459335 1702040951202 2269387934936 2836734918670 3404081902404 4255102378005 4538775869872 5673469837340 6808163804808 8510204756010 11346939674680 13616327609616 17020409512020 22693879349360 34040819024040 68081638048080