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21954119163780 = 2235173122316571879
BaseRepresentation
bin1001111110111100101110…
…11110010101111110000100
32212201210102022102101102110
410333132113132111332010
510334144014001220110
6114405325541341020
74424063352610026
oct477362736257604
985653368371373
1021954119163780
116aa4764a1a561
122566a32107770
13c333592c01bb
1455c8294b0016
15281124e31a20
hex13f797795f84

21954119163780 has 384 divisors, whose sum is σ = 67565058785280. Its totient is φ = 5302371041280.

The previous prime is 21954119163673. The next prime is 21954119163827. The reversal of 21954119163780 is 8736191145912.

It is a self number, because there is not a number n which added to its sum of digits gives 21954119163780.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11683936881 + ... + 11683938759.

It is an arithmetic number, because the mean of its divisors is an integer number (175950673920).

It is a 1-persistent number, because it is pandigital, but 2⋅21954119163780 = 43908238327560 is not.

Almost surely, 221954119163780 is an apocalyptic number.

21954119163780 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 21954119163780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33782529392640).

21954119163780 is an abundant number, since it is smaller than the sum of its proper divisors (45610939621500).

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

21954119163780 is a wasteful number, since it uses less digits than its factorization.

21954119163780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 21954119163780 in words is "twenty-one trillion, nine hundred fifty-four billion, one hundred nineteen million, one hundred sixty-three thousand, seven hundred eighty".