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20988666468 = 2232721123131359
BaseRepresentation
bin10011100011000001…
…011010001001100100
32000011201212201200100
4103203001122021210
5320441044311333
613350403544100
71342055502300
oct234301321144
960151781610
1020988666468
1189a0611850
12409908b030
131c96477293
141031722d00
1582c95e213
hex4e305a264

20988666468 has 432 divisors, whose sum is σ = 70988037120. Its totient is φ = 5160355200.

The previous prime is 20988666449. The next prime is 20988666473. The reversal of 20988666468 is 86466688902.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58464073 + ... + 58464431.

It is an arithmetic number, because the mean of its divisors is an integer number (164324160).

Almost surely, 220988666468 is an apocalyptic number.

20988666468 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 20988666468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35494018560).

20988666468 is an abundant number, since it is smaller than the sum of its proper divisors (49999370652).

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

20988666468 is a wasteful number, since it uses less digits than its factorization.

20988666468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 20988666468 in words is "twenty billion, nine hundred eighty-eight million, six hundred sixty-six thousand, four hundred sixty-eight".