Search a number
-
+
78135479757 = 32311491879567
BaseRepresentation
bin100100011000100111…
…1001100110111001101
321110200101200122001200
41020301033030313031
52240010140323012
655521150300113
75434161422346
oct1106117146715
9243611618050
1078135479757
1130156494465
12131874b7639
1374a2a744ba
143ad32a90cd
15207496d3dc
hex12313ccdcd

78135479757 has 24 divisors (see below), whose sum is σ = 117285043200. Its totient is φ = 50071638240.

The previous prime is 78135479731. The next prime is 78135479791. The reversal of 78135479757 is 75797453187.

78135479757 is a `hidden beast` number, since 7 + 8 + 13 + 547 + 9 + 75 + 7 = 666.

It is not a de Polignac number, because 78135479757 - 27 = 78135479629 is a prime.

It is a super-2 number, since 2×781354797572 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78135479694 and 78135479703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78135479707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 898213 + ... + 981354.

It is an arithmetic number, because the mean of its divisors is an integer number (4886876800).

Almost surely, 278135479757 is an apocalyptic number.

It is an amenable number.

78135479757 is a deficient number, since it is larger than the sum of its proper divisors (39149563443).

78135479757 is a wasteful number, since it uses less digits than its factorization.

78135479757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879753 (or 1879750 counting only the distinct ones).

The product of its digits is 51861600, while the sum is 63.

The spelling of 78135479757 in words is "seventy-eight billion, one hundred thirty-five million, four hundred seventy-nine thousand, seven hundred fifty-seven".

Divisors: 1 3 9 31 93 149 279 447 1341 4619 13857 41571 1879567 5638701 16916103 58266577 174799731 280055483 524399193 840166449 2520499347 8681719973 26045159919 78135479757