Search a number
-
+
77763883076077 = 1124528114193077
BaseRepresentation
bin10001101011100111010000…
…101000001000100111101101
3101012100011011201100122122111
4101223213100220020213231
540143040413031413302
6433220122410244021
722244153341641052
oct2153472050104755
9335304151318574
1077763883076077
1122861528772700
12887b1b3126611
1334511448600a3
14152bb13451029
158ecc3c87b0d7
hex46b9d0a089ed

77763883076077 has 12 divisors (see below), whose sum is σ = 85477897413468. Its totient is φ = 70692872940800.

The previous prime is 77763883076069. The next prime is 77763883076123. The reversal of 77763883076077 is 77067038836777.

It can be written as a sum of positive squares in 2 ways, for example, as 55812090621001 + 21951792455076 = 7470749^2 + 4685274^2 .

It is not a de Polignac number, because 77763883076077 - 23 = 77763883076069 is a prime.

It is a super-2 number, since 2×777638830760772 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77763883075994 and 77763883076012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77763883026077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1617538 + ... + 12575539.

It is an arithmetic number, because the mean of its divisors is an integer number (7123158117789).

Almost surely, 277763883076077 is an apocalyptic number.

It is an amenable number.

77763883076077 is a deficient number, since it is larger than the sum of its proper divisors (7714014337391).

77763883076077 is a wasteful number, since it uses less digits than its factorization.

77763883076077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14238380 (or 14238369 counting only the distinct ones).

The product of its (nonzero) digits is 2439569664, while the sum is 76.

The spelling of 77763883076077 in words is "seventy-seven trillion, seven hundred sixty-three billion, eight hundred eighty-three million, seventy-six thousand, seventy-seven".

Divisors: 1 11 121 45281 498091 5479001 14193077 156123847 1717362317 642676719637 7069443916007 77763883076077