Search a number
-
+
116378078877 = 3253625738993
BaseRepresentation
bin110110001100010101…
…1001000111010011101
3102010101120212221202200
41230120223020322131
53401320242011002
6125244030042113
711256646230414
oct1543053107235
9363346787680
10116378078877
11453a0434185
121a67a949339
13ac88a00588
1458c02cc47b
153062013b1c
hex1b18ac8e9d

116378078877 has 24 divisors (see below), whose sum is σ = 171305165304. Its totient is φ = 76107393024.

The previous prime is 116378078851. The next prime is 116378078891. The reversal of 116378078877 is 778870873611.

116378078877 is a `hidden beast` number, since 116 + 378 + 0 + 7 + 88 + 77 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51571684836 + 64806394041 = 227094^2 + 254571^2 .

It is not a de Polignac number, because 116378078877 - 27 = 116378078749 is a prime.

It is a super-2 number, since 2×1163780788772 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116378078827) 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, 2965093 + ... + 3004085.

It is an arithmetic number, because the mean of its divisors is an integer number (7137715221).

Almost surely, 2116378078877 is an apocalyptic number.

It is an amenable number.

116378078877 is a deficient number, since it is larger than the sum of its proper divisors (54927086427).

116378078877 is a wasteful number, since it uses less digits than its factorization.

116378078877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45309 (or 45306 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 116378078877 in words is "one hundred sixteen billion, three hundred seventy-eight million, seventy-eight thousand, eight hundred seventy-seven".

Divisors: 1 3 9 53 159 477 6257 18771 38993 56313 116979 331621 350937 994863 2066629 2984589 6199887 18599661 243979201 731937603 2195812809 12930897653 38792692959 116378078877