Search a number
-
+
2165504166045 = 325112397705081
BaseRepresentation
bin11111100000110010000…
…110110100100010011101
321200000112201010121022200
4133200302012310202131
5240434423031303140
64334452513402113
7312311132463423
oct37406206644235
97600481117280
102165504166045
11765426713400
122ab832b69339
1312928ac42c7c
1476b4d3c3113
153b4e2cae030
hex1f8321b489d

2165504166045 has 36 divisors (see below), whose sum is σ = 4125792520668. Its totient is φ = 1049941411200.

The previous prime is 2165504166029. The next prime is 2165504166121. The reversal of 2165504166045 is 5406614055612.

2165504166045 is a `hidden beast` number, since 2 + 16 + 550 + 41 + 6 + 6 + 0 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1492372527129 + 673131638916 = 1221627^2 + 820446^2 .

It is not a de Polignac number, because 2165504166045 - 24 = 2165504166029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198847096 + ... + 198857985.

Almost surely, 22165504166045 is an apocalyptic number.

It is an amenable number.

2165504166045 is a deficient number, since it is larger than the sum of its proper divisors (1960288354623).

2165504166045 is a wasteful number, since it uses less digits than its factorization.

2165504166045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397705114 (or 397705100 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2165504166045 in words is "two trillion, one hundred sixty-five billion, five hundred four million, one hundred sixty-six thousand, forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 397705081 1193115243 1988525405 3579345729 4374755891 5965576215 13124267673 17896728645 21873779455 39372803019 48122314801 65621338365 144366944403 196864015095 240611574005 433100833209 721834722015 2165504166045