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20010188016 = 24327213312227
BaseRepresentation
bin10010101000101100…
…110011110011110000
31220122112200212120200
4102220230303303300
5311440102004031
613105331435200
71305604535400
oct225054636360
956575625520
1020010188016
118539258475
123a65455b00
131b6b833c50
14d7b7b8800
157c1ace8e6
hex4a8b33cf0

20010188016 has 540 divisors, whose sum is σ = 72810167976. Its totient is φ = 5084674560.

The previous prime is 20010187919. The next prime is 20010188057. The reversal of 20010188016 is 61088101002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88150495 + ... + 88150721.

Almost surely, 220010188016 is an apocalyptic number.

20010188016 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 20010188016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36405083988).

20010188016 is an abundant number, since it is smaller than the sum of its proper divisors (52799979960).

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

20010188016 is a wasteful number, since it uses less digits than its factorization.

20010188016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 20010188016 its reverse (61088101002), we get a palindrome (81098289018).

The spelling of 20010188016 in words is "twenty billion, ten million, one hundred eighty-eight thousand, sixteen".