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21416863088400 = 24352132295995091
BaseRepresentation
bin1001101111010100000001…
…00001000011111100010000
32210211102200000022221122020
410313222000201003330100
510301343213422312100
6113314434315211440
74340213555404653
oct467520041037420
983742600287566
1021416863088400
11690792797121a
12249a894146b80
13bc47a8715610
145408202a789a
1527217d6765a0
hex137a80843f10

21416863088400 has 240 divisors, whose sum is σ = 74205330346560. Its totient is φ = 5248821196800.

The previous prime is 21416863088371. The next prime is 21416863088407. The reversal of 21416863088400 is 488036861412.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (21416863088407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574855 + ... + 6569945.

It is an arithmetic number, because the mean of its divisors is an integer number (309188876444).

Almost surely, 221416863088400 is an apocalyptic number.

21416863088400 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 21416863088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37102665173280).

21416863088400 is an abundant number, since it is smaller than the sum of its proper divisors (52788467258160).

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

21416863088400 is a wasteful number, since it uses less digits than its factorization.

21416863088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995354 (or 5995343 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 21416863088400 in words is "twenty-one trillion, four hundred sixteen billion, eight hundred sixty-three million, eighty-eight thousand, four hundred".