Search a number
-
+
900423301800 = 2335211136427773
BaseRepresentation
bin11010001101001010110…
…10010011101010101000
310012002011001022001010210
431012211122103222220
5104223031331124200
61525352044141120
7122024220532401
oct15064532235250
93162131261123
10900423301800
1131795a5307a0
12126611b377a0
1366ba9398949
143181b6d49a8
151864e794650
hexd1a5693aa8

900423301800 has 96 divisors (see below), whose sum is σ = 3045067915680. Its totient is φ = 218284435200.

The previous prime is 900423301787. The next prime is 900423301829. The reversal of 900423301800 is 8103324009.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68207287 + ... + 68220486.

It is an arithmetic number, because the mean of its divisors is an integer number (31719457455).

Almost surely, 2900423301800 is an apocalyptic number.

It is an amenable number.

900423301800 is an abundant number, since it is smaller than the sum of its proper divisors (2144644613880).

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

900423301800 is a wasteful number, since it uses less digits than its factorization.

900423301800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136427803 (or 136427794 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 900423301800 its reverse (8103324009), we get a palindrome (908526625809).

The spelling of 900423301800 in words is "nine hundred billion, four hundred twenty-three million, three hundred one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 136427773 272855546 409283319 545711092 682138865 818566638 1091422184 1364277730 1500705503 1637133276 2046416595 2728555460 3001411006 3274266552 3410694325 4092833190 4502116509 5457110920 6002822012 6821388650 7503527515 8185666380 9004233018 10232082975 12005644024 13642777300 15007055030 16371332760 18008466036 20464165950 22510582545 27285554600 30014110060 36016932072 37517637575 40928331900 45021165090 60028220120 75035275150 81856663800 90042330180 112552912725 150070550300 180084660360 225105825450 300141100600 450211650900 900423301800