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2930165161 = 72112192372
BaseRepresentation
bin1010111010100110…
…1100010110101001
321120012121210221121
42232221230112221
522000110241121
61202431335241
7132416664400
oct25651542651
97505553847
102930165161
111274002500
12699381521
133790a2c51
141db228637
1512239c141
hexaea6c5a9

2930165161 has 81 divisors (see below), whose sum is σ = 4063923927. Its totient is φ = 2104613280.

The previous prime is 2930165159. The next prime is 2930165171. The reversal of 2930165161 is 1615610392.

The square root of 2930165161 is 54131.

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

It can be written as a sum of positive squares in only one way, i.e., 2621952025 + 308213136 = 51205^2 + 17556^2 .

It is not a de Polignac number, because 2930165161 - 21 = 2930165159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2930165131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79193635 + ... + 79193671.

Almost surely, 22930165161 is an apocalyptic number.

2930165161 is the 54131-st square number.

2930165161 is the 27066-th centered octagonal number.

It is an amenable number.

2930165161 is a deficient number, since it is larger than the sum of its proper divisors (1133758766).

2930165161 is a wasteful number, since it uses less digits than its factorization.

2930165161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The cubic root of 2930165161 is about 1430.9705639933.

The spelling of 2930165161 in words is "two billion, nine hundred thirty million, one hundred sixty-five thousand, one hundred sixty-one".

Divisors: 1 7 11 19 37 49 77 121 133 209 259 361 407 539 703 847 931 1369 1463 1813 2299 2527 2849 3971 4477 4921 5929 7733 9583 10241 13357 15059 16093 17689 19943 26011 27797 31339 34447 43681 54131 67081 85063 93499 105413 112651 146927 165649 182077 194579 219373 286121 305767 378917 494209 595441 654493 737891 1028489 1159543 1274539 1616197 2002847 2140369 3147331 3459463 4168087 5436299 7199423 8116801 11313379 14019929 22031317 24216241 38054093 59799289 79193653 154219219 266378651 418595023 2930165161