Search a number
-
+
78336977963387 = 11134186315482323
BaseRepresentation
bin10001110011111100111111…
…101111101000100101111011
3101021100221102200111101000112
4101303330333233220211323
540231433112324312022
6434335302202454535
722333442225052233
oct2163747757504573
9337327380441015
1078336977963387
1122a62586901880
12895229350444b
1334931b7380370
14154b75c312cc3
1590cad06588e2
hex473f3fbe897b

78336977963387 has 32 divisors (see below), whose sum is σ = 94386192316416. Its totient is φ = 64059655507200.

The previous prime is 78336977963357. The next prime is 78336977963393.

78336977963387 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 78336977963387 - 238 = 78062100056443 is a prime.

It is a super-2 number, since 2×783369779633872 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78336977963299 and 78336977963308.

It is not an unprimeable number, because it can be changed into a prime (78336977963357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2681393 + ... + 12800930.

It is an arithmetic number, because the mean of its divisors is an integer number (2949568509888).

Almost surely, 278336977963387 is an apocalyptic number.

78336977963387 is a deficient number, since it is larger than the sum of its proper divisors (16049214353029).

78336977963387 is a wasteful number, since it uses less digits than its factorization.

78336977963387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483251.

The product of its digits is 36294822144, while the sum is 86.

The spelling of 78336977963387 in words is "seventy-eight trillion, three hundred thirty-six billion, nine hundred seventy-seven million, nine hundred sixty-three thousand, three hundred eighty-seven".

Divisors: 1 11 13 41 143 451 533 863 5863 9493 11219 35383 123409 389213 459979 5059769 15482323 170305553 201270199 634775243 2213972189 6982527673 8252078159 13361244749 90772859749 146973692239 173696181737 547811034709 1910657999107 6025921381799 7121543451217 78336977963387