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21417146424 = 2332297460367
BaseRepresentation
bin10011111100100011…
…111011100000111000
32001021121010202200100
4103330203323200320
5322330242141144
613501111435400
71355510512062
oct237443734070
961247122610
1021417146424
1190a046a113
124198685b60
13203417aa0b
1410725bc732
1585539b269
hex4fc8fb838

21417146424 has 24 divisors (see below), whose sum is σ = 58004771760. Its totient is φ = 7139048784.

The previous prime is 21417146423. The next prime is 21417146441. The reversal of 21417146424 is 42464171412.

21417146424 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 7 + 1 + 4 + 642 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21417146423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148730112 + ... + 148730255.

It is an arithmetic number, because the mean of its divisors is an integer number (2416865490).

Almost surely, 221417146424 is an apocalyptic number.

21417146424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21417146424 is an abundant number, since it is smaller than the sum of its proper divisors (36587625336).

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

21417146424 is a wasteful number, since it uses less digits than its factorization.

21417146424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297460379 (or 297460372 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 21417146424 in words is "twenty-one billion, four hundred seventeen million, one hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 297460367 594920734 892381101 1189841468 1784762202 2379682936 2677143303 3569524404 5354286606 7139048808 10708573212 21417146424