Search a number
-
+
21364033046312 = 23112395927171383
BaseRepresentation
bin1001101101110001100111…
…00110011100011100101000
32210122101022012021202002202
410312320303212130130220
510300012014424440222
6113234300140115332
74333333440431435
oct466706346343450
983571265252082
1021364033046312
116897487771710
1224905ab535b48
13bbc80955a498
1453c04bb72b8c
15270ada610892
hex136e3399c728

21364033046312 has 64 divisors (see below), whose sum is σ = 43889660006400. Its totient is φ = 9668604648640.

The previous prime is 21364033046269. The next prime is 21364033046339.

21364033046312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213640330463122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124570973 + ... + 124742355.

It is an arithmetic number, because the mean of its divisors is an integer number (685775937600).

Almost surely, 221364033046312 is an apocalyptic number.

21364033046312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21364033046312 is an abundant number, since it is smaller than the sum of its proper divisors (22525626960088).

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

21364033046312 is a wasteful number, since it uses less digits than its factorization.

21364033046312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177566 (or 177562 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 21364033046312 in words is "twenty-one trillion, three hundred sixty-four billion, thirty-three million, forty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 239 478 956 1912 2629 5258 5927 10516 11854 21032 23708 47416 65197 130394 171383 260788 342766 521576 685532 1371064 1416553 1885213 2833106 3770426 5666212 7540852 11332424 15081704 15582083 31164166 40960537 62328332 81921074 124656664 163842148 327684296 450565907 901131814 1015787041 1802263628 2031574082 3604527256 4063148164 8126296328 11173657451 22347314902 44694629804 89389259608 242773102799 485546205598 971092411196 1942184822392 2670504130789 5341008261578 10682016523156 21364033046312