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21704375456 = 251797421977
BaseRepresentation
bin10100001101101011…
…100111110010100000
32002000121121111211122
4110031223213302200
5323422310003311
613545412031412
71365566101361
oct241553476240
962017544748
1021704375456
119228610585
124258902568
13207b82691a
14109c7c9b68
158706d60db
hex50dae7ca0

21704375456 has 96 divisors (see below), whose sum is σ = 45865954512. Its totient is φ = 10074193920.

The previous prime is 21704375453. The next prime is 21704375467. The reversal of 21704375456 is 65457340712.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11466983056 + 10237392400 = 107084^2 + 101180^2 .

It is not an unprimeable number, because it can be changed into a prime (21704375453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22214840 + ... + 22215816.

Almost surely, 221704375456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21704375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932977256).

21704375456 is an abundant number, since it is smaller than the sum of its proper divisors (24161579056).

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

21704375456 is a wasteful number, since it uses less digits than its factorization.

21704375456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 21704375456 in words is "twenty-one billion, seven hundred four million, three hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 97 136 194 272 388 421 544 776 842 977 1552 1649 1684 1954 3104 3298 3368 3908 6596 6736 7157 7816 13192 13472 14314 15632 16609 26384 28628 31264 33218 40837 52768 57256 66436 81674 94769 114512 132872 163348 189538 229024 265744 326696 379076 411317 531488 653392 694229 758152 822634 1306784 1388458 1516304 1611073 1645268 2776916 3032608 3222146 3290536 5553832 6444292 6581072 6992389 11107664 12888584 13162144 13984778 22215328 25777168 27969556 39897749 51554336 55939112 79795498 111878224 159590996 223756448 319181992 638363984 678261733 1276727968 1356523466 2713046932 5426093864 10852187728 21704375456