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20345032403136 = 2632710037502729
BaseRepresentation
bin1001010000000111100100…
…11011011110100011000000
32200000222002021210122012200
410220003302123132203000
510131313111243400021
6111134213455553200
74166610604040310
oct450036233364300
980028067718180
1020345032403136
116534309441331
12234700622b800
13b476b395a51c
145049c2065440
1525434ac34126
hex1280f26de8c0

20345032403136 has 168 divisors, whose sum is σ = 66652900597920. Its totient is φ = 5812275695616.

The previous prime is 20345032403089. The next prime is 20345032403231. The reversal of 20345032403136 is 63130423054302.

20345032403136 is a `hidden beast` number, since 2 + 0 + 3 + 450 + 32 + 40 + 3 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20345032403136.

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 23 ways as a sum of consecutive naturals, for example, 40217820 + ... + 40720548.

It is an arithmetic number, because the mean of its divisors is an integer number (396743455940).

Almost surely, 220345032403136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345032403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326450298960).

20345032403136 is an abundant number, since it is smaller than the sum of its proper divisors (46307868194784).

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

20345032403136 is a wasteful number, since it uses less digits than its factorization.

20345032403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512791 (or 512778 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 20345032403136 its reverse (63130423054302), we get a palindrome (83475455457438).

The spelling of 20345032403136 in words is "twenty trillion, three hundred forty-five billion, thirty-two million, four hundred three thousand, one hundred thirty-six".