Search a number
-
+
2067797058768 = 2432717313892573
BaseRepresentation
bin11110000101110010010…
…011110010010011010000
321022200100022222021120200
4132011302103302103100
5232334322021340033
64221533255135200
7302251636665360
oct36056223622320
97280308867520
102067797058768
11727a47594571
12294905074500
1311ccb948a6ac
1472120aa09a0
1538bc4ee0013
hex1e1724f24d0

2067797058768 has 240 divisors, whose sum is σ = 7228603339776. Its totient is φ = 538109153280.

The previous prime is 2067797058749. The next prime is 2067797058809. The reversal of 2067797058768 is 8678507977602.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2067797058696 and 2067797058705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415071 + ... + 2477502.

Almost surely, 22067797058768 is an apocalyptic number.

2067797058768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2067797058768 is an abundant number, since it is smaller than the sum of its proper divisors (5160806281008).

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

2067797058768 is a wasteful number, since it uses less digits than its factorization.

2067797058768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892642 (or 3892633 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 2067797058768 in words is "two trillion, sixty-seven billion, seven hundred ninety-seven million, fifty-eight thousand, seven hundred sixty-eight".