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21411669420 = 223257397107157
BaseRepresentation
bin10011111100001111…
…000010010110101100
32001021012211111122100
4103330033002112230
5322322341410140
613500354215100
71355413121121
oct237417022654
961235744570
1021411669420
119098369169
124196884490
132032cb0a9b
141071994748
15854b68530
hex4fc3c25ac

21411669420 has 288 divisors, whose sum is σ = 67566477888. Its totient is φ = 5486247936.

The previous prime is 21411669359. The next prime is 21411669421. The reversal of 21411669420 is 2496611412.

21411669420 is a `hidden beast` number, since 214 + 1 + 16 + 6 + 9 + 420 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21411669421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136379982 + ... + 136380138.

It is an arithmetic number, because the mean of its divisors is an integer number (234605826).

Almost surely, 221411669420 is an apocalyptic number.

21411669420 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 21411669420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33783238944).

21411669420 is an abundant number, since it is smaller than the sum of its proper divisors (46154808468).

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

21411669420 is a wasteful number, since it uses less digits than its factorization.

21411669420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21411669420 in words is "twenty-one billion, four hundred eleven million, six hundred sixty-nine thousand, four hundred twenty".