Search a number
-
+
165430133451 = 321119112977899
BaseRepresentation
bin1001101000010001100…
…1111000001011001011
3120211000002222111201200
42122010121320023023
510202300103232301
6203555245515243
714644340635032
oct2320431701313
9524002874650
10165430133451
1164181aa7860
122808a272b23
13127a525a73b
148014b81719
15448355ac86
hex26846782cb

165430133451 has 48 divisors (see below), whose sum is σ = 274644240000. Its totient is φ = 94898459520.

The previous prime is 165430133437. The next prime is 165430133459. The reversal of 165430133451 is 154331034561.

165430133451 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 301 + 3 + 345 + 1 = 666.

It is not a de Polignac number, because 165430133451 - 215 = 165430100683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165430133459) 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 47 ways as a sum of consecutive naturals, for example, 2084700 + ... + 2162598.

It is an arithmetic number, because the mean of its divisors is an integer number (5721755000).

Almost surely, 2165430133451 is an apocalyptic number.

165430133451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

165430133451 is a deficient number, since it is larger than the sum of its proper divisors (109214106549).

165430133451 is a wasteful number, since it uses less digits than its factorization.

165430133451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79064 (or 79061 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 165430133451 in words is "one hundred sixty-five billion, four hundred thirty million, one hundred thirty-three thousand, four hundred fifty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1129 1881 3387 10161 12419 21451 37257 64353 77899 111771 193059 233697 235961 701091 707883 856889 1480081 2123649 2570667 4440243 7712001 13320729 16280891 48842673 87947971 146528019 263843913 791531739 967427681 1671011449 2902283043 5013034347 8706849129 15039103041 18381125939 55143377817 165430133451