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245342315402496 = 28321341461433373
BaseRepresentation
bin110111110010001100110101…
…100011101101010100000000
31012011200111101210111101122200
4313302030311203231110000
5224124142030220334441
62225444412001233200
7102451253201141424
oct6762146543552400
91164614353441580
10245342315402496
11711a0100a903a4
1223624b99032800
13a6b88b14077b0
1444828ba8b2b84
151d56db3a887b6
hexdf23358ed500

245342315402496 has 432 divisors, whose sum is σ = 782071404306192. Its totient is φ = 73488796876800.

The previous prime is 245342315402461. The next prime is 245342315402497. The reversal of 245342315402496 is 694204513243542.

It is a happy number.

245342315402496 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 2 + 3 + 1 + 540 + 2 + 4 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 88956285808896 + 156386029593600 = 9431664^2 + 12505440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245342315402497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565906066 + ... + 566339438.

It is an arithmetic number, because the mean of its divisors is an integer number (1810350472931).

Almost surely, 2245342315402496 is an apocalyptic number.

245342315402496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245342315402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391035702153096).

245342315402496 is an abundant number, since it is smaller than the sum of its proper divisors (536729088903696).

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

245342315402496 is a wasteful number, since it uses less digits than its factorization.

245342315402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433910 (or 433893 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 245342315402496 in words is "two hundred forty-five trillion, three hundred forty-two billion, three hundred fifteen million, four hundred two thousand, four hundred ninety-six".