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21408609551 = 7259137191283
BaseRepresentation
bin10011111100000011…
…010111010100001111
32001021000002001021212
4103330003113110033
5322321101001201
613500204445035
71355345115200
oct237403272417
961230061255
1021408609551
11909666924a
12419584977b
13203247c104
1410713d95a7
15854761abb
hex4fc0d750f

21408609551 has 48 divisors (see below), whose sum is σ = 25735034880. Its totient is φ = 17750839680.

The previous prime is 21408609539. The next prime is 21408609559. The reversal of 21408609551 is 15590680412.

It is not a de Polignac number, because 21408609551 - 210 = 21408608527 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21408609499 and 21408609508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21408609559) 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 47 ways as a sum of consecutive naturals, for example, 75648656 + ... + 75648938.

It is an arithmetic number, because the mean of its divisors is an integer number (536146560).

Almost surely, 221408609551 is an apocalyptic number.

21408609551 is a deficient number, since it is larger than the sum of its proper divisors (4326425329).

21408609551 is a wasteful number, since it uses less digits than its factorization.

21408609551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 21408609551 in words is "twenty-one billion, four hundred eight million, six hundred nine thousand, five hundred fifty-one".

Divisors: 1 7 49 59 137 191 283 413 959 1337 1981 2891 6713 8083 9359 11269 13867 16697 26167 38771 54053 56581 78883 116879 183169 271397 378371 396067 552181 818153 1282183 1543853 1899779 2287489 2648597 3189127 7405261 10806971 16012423 22323889 51836827 75648797 112086961 156267223 362857789 436910399 3058372793 21408609551