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20234081387520 = 2103557211213211
BaseRepresentation
bin1001001100111000111010…
…01110111100010000000000
32122122100200220220001200000
410212130131032330100000
510123003344313400040
6111011224134400000
74155602254003500
oct446343516742000
978570626801600
1020234081387520
1164a1253495100
122329600b00000
13b3a0b14144b0
144dd498845a00
152515053d4130
hex12671d3bc400

20234081387520 has 4752 divisors, whose sum is σ = 100591404024384. Its totient is φ = 3862668902400.

The previous prime is 20234081387467. The next prime is 20234081387537. The reversal of 20234081387520 is 2578318043202.

20234081387520 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 40 + 8 + 1 + 3 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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 (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 95896120215 + ... + 95896120425.

Almost surely, 220234081387520 is an apocalyptic number.

20234081387520 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 20234081387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50295702012192).

20234081387520 is an abundant number, since it is smaller than the sum of its proper divisors (80357322636864).

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

20234081387520 is a wasteful number, since it uses less digits than its factorization.

20234081387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 20234081387520 in words is "twenty trillion, two hundred thirty-four billion, eighty-one million, three hundred eighty-seven thousand, five hundred twenty".