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245055135215520 = 253257297220716223
BaseRepresentation
bin110111101110000001011000…
…010010001110111110100000
31012010200001010201022100022100
4313232001120102032332200
5224104440404103344040
62225104435221210400
7102421435460626200
oct6756013022167640
91163601121270270
10245055135215520
117109a3322893a3
12235993b0b60a00
13a6977a553c886
144472a361d4400
151d4e6a6ad7b30
hexdee05848efa0

245055135215520 has 864 divisors, whose sum is σ = 983315964653568. Its totient is φ = 55406619426816.

The previous prime is 245055135215503. The next prime is 245055135215537. The reversal of 245055135215520 is 25512531550542.

245055135215520 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 5 + 51 + 3 + 521 + 55 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (245055135215503) and next prime (245055135215537).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15105406129 + ... + 15105422351.

It is an arithmetic number, because the mean of its divisors is an integer number (1138097181312).

Almost surely, 2245055135215520 is an apocalyptic number.

245055135215520 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 245055135215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491657982326784).

245055135215520 is an abundant number, since it is smaller than the sum of its proper divisors (738260829438048).

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

245055135215520 is a wasteful number, since it uses less digits than its factorization.

245055135215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18562 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 1500000, while the sum is 45.

The spelling of 245055135215520 in words is "two hundred forty-five trillion, fifty-five billion, one hundred thirty-five million, two hundred fifteen thousand, five hundred twenty".