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21377875088 = 2417433181513
BaseRepresentation
bin10011111010001110…
…000111110010010000
32001011212020120112102
4103322032013302100
5322240214000323
613453150015532
71354522640303
oct237216076220
961155216472
1021377875088
119080286a69
1241874a75a8
132028caaa3b
14106b2b8b3a
15851be0328
hex4fa387c90

21377875088 has 40 divisors (see below), whose sum is σ = 43957608408. Its totient is φ = 10036887552.

The previous prime is 21377875087. The next prime is 21377875151. The reversal of 21377875088 is 88057877312.

It can be written as a sum of positive squares in 4 ways, for example, as 24482704 + 21353392384 = 4948^2 + 146128^2 .

It is not an unprimeable number, because it can be changed into a prime (21377875087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27020 + ... + 208532.

Almost surely, 221377875088 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 21377875088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978804204).

21377875088 is an abundant number, since it is smaller than the sum of its proper divisors (22579733320).

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

21377875088 is a wasteful number, since it uses less digits than its factorization.

21377875088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181971 (or 181965 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 56.

The spelling of 21377875088 in words is "twenty-one billion, three hundred seventy-seven million, eight hundred seventy-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 433 866 1732 3464 6928 7361 14722 29444 58888 117776 181513 363026 726052 1452104 2904208 3085721 6171442 12342884 24685768 49371536 78595129 157190258 314380516 628761032 1257522064 1336117193 2672234386 5344468772 10688937544 21377875088