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21467468268756 = 22322729218511749
BaseRepresentation
bin1001110000110010010001…
…10100100000010011010100
32211000021021202220110122100
410320121020310200103110
510303210333334100011
6113354004020002100
74343654606343636
oct470311064402324
984007252813570
1021467468268756
116927336200224
1224a8657830330
13bc94b1975b13
1454306112ca56
1527364120dd56
hex138648d204d4

21467468268756 has 36 divisors (see below), whose sum is σ = 54284874052500. Its totient is φ = 7153200582528.

The previous prime is 21467468268733. The next prime is 21467468268839. The reversal of 21467468268756 is 65786286476412.

21467468268756 is a `hidden beast` number, since 2 + 1 + 4 + 67 + 468 + 26 + 87 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21252413481156 + 215054787600 = 4610034^2 + 463740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109157631 + ... + 109354118.

It is an arithmetic number, because the mean of its divisors is an integer number (1507913168125).

Almost surely, 221467468268756 is an apocalyptic number.

It is an amenable number.

21467468268756 is an abundant number, since it is smaller than the sum of its proper divisors (32817405783744).

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

21467468268756 is a wasteful number, since it uses less digits than its factorization.

21467468268756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218514488 (or 218514483 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 21467468268756 in words is "twenty-one trillion, four hundred sixty-seven billion, four hundred sixty-eight million, two hundred sixty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2729 5458 8187 10916 16374 24561 32748 49122 98244 218511749 437023498 655535247 874046996 1311070494 1966605741 2622140988 3933211482 7866422964 596318563021 1192637126042 1788955689063 2385274252084 3577911378126 5366867067189 7155822756252 10733734134378 21467468268756