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82203798400 = 275225688687
BaseRepresentation
bin100110010001110111…
…0100110101110000000
321212011220221122001221
41030203232212232000
52321323133022100
6101433000404424
75640041520553
oct1144356465600
9255156848057
1082203798400
11319539a0479
1213b21a76714
1379a0896339
143d9b72469a
152211bdb01a
hex1323ba6b80

82203798400 has 48 divisors (see below), whose sum is σ = 203069078640. Its totient is φ = 32881518080.

The previous prime is 82203798377. The next prime is 82203798409. The reversal of 82203798400 is 489730228.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82203798409) 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 5 ways as a sum of consecutive naturals, for example, 12841144 + ... + 12847543.

It is an arithmetic number, because the mean of its divisors is an integer number (4230605805).

Almost surely, 282203798400 is an apocalyptic number.

82203798400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82203798400 is an abundant number, since it is smaller than the sum of its proper divisors (120865280240).

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

82203798400 is a wasteful number, since it uses less digits than its factorization.

82203798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25688711 (or 25688694 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 82203798400 in words is "eighty-two billion, two hundred three million, seven hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 25688687 51377374 102754748 128443435 205509496 256886870 411018992 513773740 642217175 822037984 1027547480 1284434350 1644075968 2055094960 2568868700 3288151936 4110189920 5137737400 8220379840 10275474800 16440759680 20550949600 41101899200 82203798400