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92160209241 = 348923792
BaseRepresentation
bin101010111010100101…
…1010011000101011001
322210212210200201010000
41111311023103011121
53002221003143431
6110200545043213
76441546565452
oct1256513230531
9283783621100
1092160209241
11360a3043291
1215a40326509
1388c95313b9
144663b7c129
1525e5d389e6
hex15752d3159

92160209241 has 45 divisors (see below), whose sum is σ = 139604019951. Its totient is φ = 60589511136.

The previous prime is 92160209227. The next prime is 92160209293. The reversal of 92160209241 is 14290206129.

The square root of 92160209241 is 303579.

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

92160209241 is a `hidden beast` number, since 9 + 2 + 1 + 602 + 0 + 9 + 2 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17696714841 + 74463494400 = 133029^2 + 272880^2 .

It is not a de Polignac number, because 92160209241 - 211 = 92160207193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 92160209196 and 92160209205.

It is not an unprimeable number, because it can be changed into a prime (92160209201) 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 44 ways as a sum of consecutive naturals, for example, 243166590 + ... + 243166968.

Almost surely, 292160209241 is an apocalyptic number.

92160209241 is the 303579-th square number.

92160209241 is the 151790-th centered octagonal number.

It is an amenable number.

92160209241 is a deficient number, since it is larger than the sum of its proper divisors (47443810710).

92160209241 is an frugal number, since it uses more digits than its factorization.

92160209241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 92160209241 by its sum of digits (36), we get a square (3317767532676 = 18214742).

It can be divided in two parts, 92160 and 209241, that added together give a square (301401 = 5492).

The spelling of 92160209241 in words is "ninety-two billion, one hundred sixty million, two hundred nine thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 89 267 379 801 1137 2403 3411 7209 7921 10233 23763 30699 33731 71289 101193 143641 213867 303579 430923 641601 910737 1292769 2732211 3002059 3878307 9006177 11634921 12784049 27018531 38352147 81055593 115056441 243166779 345169323 1035507969 1137780361 3413341083 10240023249 30720069747 92160209241