Search a number
-
+
21035351424 = 27359392377
BaseRepresentation
bin10011100101110011…
…011111110110000000
32000021222201120101210
4103211303133312000
5321040022221144
613355152330120
71343163352113
oct234563376600
960258646353
1021035351424
118a149a895a
1240b0843940
131ca3041809
1410379d657a
15831ad1ab9
hex4e5cdfd80

21035351424 has 64 divisors (see below), whose sum is σ = 55969982640. Its totient is φ = 6999883776.

The previous prime is 21035351399. The next prime is 21035351461. The reversal of 21035351424 is 42415353012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21035351391 and 21035351400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 181524 + ... + 273900.

Almost surely, 221035351424 is an apocalyptic number.

21035351424 is a gapful number since it is divisible by the number (24) 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 21035351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27984991320).

21035351424 is an abundant number, since it is smaller than the sum of its proper divisors (34934631216).

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

21035351424 is an equidigital number, since it uses as much as digits as its factorization.

21035351424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92987 (or 92975 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 21035351424 in words is "twenty-one billion, thirty-five million, three hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 593 1186 1779 2372 3558 4744 7116 9488 14232 18976 28464 37952 56928 75904 92377 113856 184754 227712 277131 369508 554262 739016 1108524 1478032 2217048 2956064 4434096 5912128 8868192 11824256 17736384 35472768 54779561 109559122 164338683 219118244 328677366 438236488 657354732 876472976 1314709464 1752945952 2629418928 3505891904 5258837856 7011783808 10517675712 21035351424