Search a number
-
+
78806066164 = 2274726120887
BaseRepresentation
bin100100101100100110…
…1010010001111110100
321112102010111221200021
41021121031102033310
52242343323104124
6100111503254524
75456613336640
oct1113115221764
9245363457607
1078806066164
113046aa73a01
1213333baa444
13757b9857a7
143b58387c20
1520b37807e4
hex12593523f4

78806066164 has 72 divisors (see below), whose sum is σ = 163684717952. Its totient is φ = 32511983040.

The previous prime is 78806066161. The next prime is 78806066219. The reversal of 78806066164 is 46166060887.

It is a happy number.

It is a hoax number, since the sum of its digits (52) 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 (78806066161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3762529 + ... + 3783415.

Almost surely, 278806066164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78806066164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81842358976).

78806066164 is an abundant number, since it is smaller than the sum of its proper divisors (84878651788).

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

78806066164 is a wasteful number, since it uses less digits than its factorization.

78806066164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21053 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 78806066164 in words is "seventy-eight billion, eight hundred six million, sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 47 61 94 122 188 244 329 427 658 854 1316 1708 2209 2867 4418 5734 8836 11468 15463 20069 20887 30926 40138 41774 61852 80276 83548 134749 146209 269498 292418 538996 584836 943243 981689 1274107 1886486 1963378 2548214 3772972 3926756 5096428 6871823 8918749 13743646 17837498 27487292 35674996 46139383 59883029 92278766 119766058 184557532 239532116 322975681 419181203 645951362 838362406 1291902724 1676724812 2814502363 5629004726 11258009452 19701516541 39403033082 78806066164