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20169228619008 = 283272853209441
BaseRepresentation
bin1001001011000000000111…
…01101010000110100000000
32122102011022012222001222200
410211200003231100310000
510120423040011302013
6110521340554433200
74151115200400600
oct445400355206400
978364265861880
1020169228619008
1164767a3821257
122318b21a32800
13b33c47498461
144da2a5698c00
1524e9abb0de73
hex125803b50d00

20169228619008 has 324 divisors, whose sum is σ = 67726831021668. Its totient is φ = 5755853537280.

The previous prime is 20169228618989. The next prime is 20169228619031. The reversal of 20169228619008 is 80091682296102.

It is a happy number.

20169228619008 is a `hidden beast` number, since 2 + 0 + 16 + 9 + 2 + 2 + 8 + 619 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3318926091264 + 16850302527744 = 1821792^2 + 4104912^2 .

It is a super-2 number, since 2×201692286190082 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96195568 + ... + 96405008.

Almost surely, 220169228619008 is an apocalyptic number.

20169228619008 is a gapful number since it is divisible by the number (28) 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 20169228619008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863415510834).

20169228619008 is an abundant number, since it is smaller than the sum of its proper divisors (47557602402660).

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

20169228619008 is a wasteful number, since it uses less digits than its factorization.

20169228619008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210330 (or 210306 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 20169228619008 in words is "twenty trillion, one hundred sixty-nine billion, two hundred twenty-eight million, six hundred nineteen thousand, eight".