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21446138025 = 32521327512
BaseRepresentation
bin10011111110010010…
…100001100010101001
32001100121200200200100
4103332102201202221
5322410202404100
613504025100013
71356312110514
oct237622414251
961317620610
1021446138025
119105870a14
1241a6327609
13203a18ba00
1410763a7d7b
15857bc6400
hex4fe4a18a9

21446138025 has 81 divisors (see below), whose sum is σ = 41649968997. Its totient is φ = 10544040000.

The previous prime is 21446138011. The next prime is 21446138039. The reversal of 21446138025 is 52083164412.

It is a happy number.

The square root of 21446138025 is 146445.

It is a perfect power (a square), and thus also a powerful number.

21446138025 is a `hidden beast` number, since 2 + 14 + 4 + 613 + 8 + 0 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (21446138011) and next prime (21446138039).

It can be written as a sum of positive squares in 4 ways, for example, as 5527773801 + 15918364224 = 74349^2 + 126168^2 .

It is not a de Polignac number, because 21446138025 - 27 = 21446137897 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 28556400 + ... + 28557150.

Almost surely, 221446138025 is an apocalyptic number.

21446138025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21446138025 is the 146445-th square number.

21446138025 is the 73223-rd centered octagonal number.

It is an amenable number.

21446138025 is a deficient number, since it is larger than the sum of its proper divisors (20203830972).

21446138025 is an equidigital number, since it uses as much as digits as its factorization.

21446138025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 21446138025 by its sum of digits (36), we get a square (772060968900 = 8786702).

The spelling of 21446138025 in words is "twenty-one billion, four hundred forty-six million, one hundred thirty-eight thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 751 845 975 1521 2253 2535 2925 3755 4225 6759 7605 9763 11265 12675 18775 29289 33795 38025 48815 56325 87867 126919 146445 168975 244075 380757 439335 564001 634595 732225 1142271 1692003 1903785 2196675 2820005 3172975 5076009 5711355 7332013 8460015 9518925 14100025 21996039 25380045 28556775 36660065 42300075 65988117 95316169 109980195 126900225 183300325 285948507 329940585 476580845 549900975 857845521 1429742535 1649702925 2382904225 4289227605 7148712675 21446138025