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245535430400000 = 211551312772311
BaseRepresentation
bin110111110101000000101100…
…000110111101100000000000
31012012100221212022102201021122
4313311000230012331200000
5224140323030140300000
62230113230342011412
7102501230600424026
oct6765005406754000
91165327768381248
10245535430400000
1171264a9a402294
12236564b2a16b68
13a700b791b59a0
14448bd9a410716
151d5be1785c085
hexdf502c1bd800

245535430400000 has 576 divisors, whose sum is σ = 661656928121280. Its totient is φ = 90549043200000.

The previous prime is 245535430399997. The next prime is 245535430400003. The reversal of 245535430400000 is 4034535542.

It is an interprime number because it is at equal distance from previous prime (245535430399997) and next prime (245535430400003).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245535430400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106246398845 + ... + 106246401155.

It is an arithmetic number, because the mean of its divisors is an integer number (1148709944655).

Almost surely, 2245535430400000 is an apocalyptic number.

245535430400000 is a gapful number since it is divisible by the number (20) 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 245535430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330828464060640).

245535430400000 is an abundant number, since it is smaller than the sum of its proper divisors (416121497721280).

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

245535430400000 is an equidigital number, since it uses as much as digits as its factorization.

245535430400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 35.

Adding to 245535430400000 its reverse (4034535542), we get a palindrome (245539464935542).

The spelling of 245535430400000 in words is "two hundred forty-five trillion, five hundred thirty-five billion, four hundred thirty million, four hundred thousand".