Search a number
-
+
245314522005520 = 245111012760064379
BaseRepresentation
bin110111110001110010111100…
…111100010100000000010000
31012011120211122211022112120111
4313301302330330110000100
5224123213120113134040
62225423534032251104
7102446250354152512
oct6761627474240020
91164524584275514
10245314522005520
117118a339376930
122361b7210a0a94
13a6b60a2246676
144481401543bb2
151d562d8a32dea
hexdf1cbcf14010

245314522005520 has 80 divisors (see below), whose sum is σ = 628367297008320. Its totient is φ = 88322060096000.

The previous prime is 245314522005503. The next prime is 245314522005533. The reversal of 245314522005520 is 25500225413542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2453145220055203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1379943310 + ... + 1380121069.

It is an arithmetic number, because the mean of its divisors is an integer number (7854591212604).

Almost surely, 2245314522005520 is an apocalyptic number.

245314522005520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245314522005520 is an abundant number, since it is smaller than the sum of its proper divisors (383052775002800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245314522005520 is a wasteful number, since it uses less digits than its factorization.

245314522005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760064504 (or 2760064498 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 245314522005520 in words is "two hundred forty-five trillion, three hundred fourteen billion, five hundred twenty-two million, five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 5555 8080 8888 11110 17776 22220 44440 88880 2760064379 5520128758 11040257516 13800321895 22080515032 27600643790 30360708169 44161030064 55201287580 60721416338 110402575160 121442832676 151803540845 220805150320 242885665352 278766502279 303607081690 485771330704 557533004558 607214163380 1115066009116 1214428326760 1393832511395 2230132018232 2428856653520 2787665022790 3066431525069 4460264036464 5575330045580 6132863050138 11150660091160 12265726100276 15332157625345 22301320182320 24531452200552 30664315250690 49062904401104 61328630501380 122657261002760 245314522005520