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20168033901120 = 2633571719267811
BaseRepresentation
bin1001001010111101111000…
…11111110001101001000000
32122102001012221220010011000
410211132330133301221000
510120413113134313440
6110521022235452000
74151043452432220
oct445367437615100
978361187803130
1020168033901120
1164762403a2aa6
1223188498b7000
13b33ab6b032b1
144da1d0b42080
1524e93bcb8730
hex1257bc7f1a40

20168033901120 has 2688 divisors, whose sum is σ = 92335216619520. Its totient is φ = 4043977850880.

The previous prime is 20168033901107. The next prime is 20168033901133. The reversal of 20168033901120 is 2110933086102.

20168033901120 is a `hidden beast` number, since 201 + 6 + 8 + 0 + 339 + 0 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20168033901107) and next prime (20168033901133).

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

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 383 ways as a sum of consecutive naturals, for example, 24868105515 + ... + 24868106325.

It is an arithmetic number, because the mean of its divisors is an integer number (34350899040).

Almost surely, 220168033901120 is an apocalyptic number.

20168033901120 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 20168033901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46167608309760).

20168033901120 is an abundant number, since it is smaller than the sum of its proper divisors (72167182718400).

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

20168033901120 is a wasteful number, since it uses less digits than its factorization.

20168033901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 20168033901120 its reverse (2110933086102), we get a palindrome (22278966987222).

The spelling of 20168033901120 in words is "twenty trillion, one hundred sixty-eight billion, thirty-three million, nine hundred one thousand, one hundred twenty".