Search a number
-
+
2148594045 = 3513171993257
BaseRepresentation
bin1000000000010000…
…1111000101111101
312112201221212221020
42000010033011331
513400020002140
6553111454353
7104146514403
oct20004170575
95481855836
102148594045
11a02909564
124bb6873b9
132831a3330
141654d9473
15c89656d0
hex8010f17d

2148594045 has 64 divisors (see below), whose sum is σ = 3940876800. Its totient is φ = 990240768.

The previous prime is 2148594031. The next prime is 2148594061. The reversal of 2148594045 is 5404958412.

It is not a de Polignac number, because 2148594045 - 26 = 2148593981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2148593988 and 2148594006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658057 + ... + 661313.

It is an arithmetic number, because the mean of its divisors is an integer number (61576200).

Almost surely, 22148594045 is an apocalyptic number.

It is an amenable number.

2148594045 is a deficient number, since it is larger than the sum of its proper divisors (1792282755).

2148594045 is a wasteful number, since it uses less digits than its factorization.

2148594045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494.

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2148594045 is about 46352.9291954672. The cubic root of 2148594045 is about 1290.3814838338.

The spelling of 2148594045 in words is "two billion, one hundred forty-eight million, five hundred ninety-four thousand, forty-five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 199 221 255 597 663 995 1105 2587 2985 3257 3315 3383 7761 9771 10149 12935 16285 16915 38805 42341 43979 48855 50745 55369 127023 131937 166107 211705 219895 276845 635115 648143 659685 719797 830535 1944429 2159391 3240715 3598985 8425859 9722145 10796955 11018431 25277577 33055293 42129295 55092155 126387885 143239603 165276465 429718809 716198015 2148594045