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78894136161 = 3610121032
BaseRepresentation
bin100100101111001110…
…1001111101101100001
321112122021020101000000
41021132131033231201
52243033344324121
6100124331050213
75462033043531
oct1113635175541
9245567211000
1078894136161
1130505757225
12133595a0969
137593cb0109
143b65d514c1
1520bb37a526
hex125e74fb61

78894136161 has 63 divisors (see below), whose sum is σ = 120641010627. Its totient is φ = 51569751600.

The previous prime is 78894136151. The next prime is 78894136177. The reversal of 78894136161 is 16163149887.

The square root of 78894136161 is 280881.

It is a perfect power (a square), and thus also a powerful number.

78894136161 is a `hidden beast` number, since 7 + 8 + 8 + 9 + 4 + 13 + 616 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75800551761 + 3093584400 = 275319^2 + 55620^2 .

It is a de Polignac number, because none of the positive numbers 2k-78894136161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 78894136098 and 78894136107.

It is not an unprimeable number, because it can be changed into a prime (78894136151) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 765962436 + ... + 765962538.

Almost surely, 278894136161 is an apocalyptic number.

78894136161 is the 280881-st square number.

78894136161 is the 140441-st centered octagonal number.

It is an amenable number.

78894136161 is a deficient number, since it is larger than the sum of its proper divisors (41746874466).

78894136161 is an frugal number, since it uses more digits than its factorization.

78894136161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 78894136161 in words is "seventy-eight billion, eight hundred ninety-four million, one hundred thirty-six thousand, one hundred sixty-one".

Divisors: 1 3 9 27 81 101 103 243 303 309 729 909 927 2727 2781 8181 8343 10201 10403 10609 24543 25029 30603 31209 31827 73629 75087 91809 93627 95481 275427 280881 286443 826281 842643 859329 1050703 1071509 2478843 2527929 2577987 3152109 3214527 7436529 7583787 7733961 9456327 9643581 28368981 28930743 85106943 86792229 108222409 255320829 260376687 324667227 765962487 781130061 974001681 2922005043 8766015129 26298045387 78894136161