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81436113446416 = 2422560492
BaseRepresentation
bin10010100001000011010010…
…100111010010011000010000
3101200100012211202122222101021
4102201003102213102120100
541133222130020241131
6445111122315445224
723103364544032231
oct2241032247223020
9350305752588337
1081436113446416
1123a47953007213
129172a45756814
13365951456aba1
141617759509088
15963518268e11
hex4a10d29d2610

81436113446416 has 15 divisors (see below), whose sum is σ = 157782539739981. Its totient is φ = 40718038674816.

The previous prime is 81436113446321. The next prime is 81436113446417. The reversal of 81436113446416 is 61464431163418.

The square root of 81436113446416 is 9024196.

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

It can be written as a sum of positive squares in only one way, i.e., 38576570688016 + 42859542758400 = 6211004^2 + 6546720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81436113446417) 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 2 ways as a sum of consecutive naturals, for example, 34968760 + ... + 37224808.

Almost surely, 281436113446416 is an apocalyptic number.

81436113446416 is the 9024196-th square number.

It is an amenable number.

81436113446416 is a deficient number, since it is larger than the sum of its proper divisors (76346426293565).

81436113446416 is an frugal number, since it uses more digits than its factorization.

81436113446416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512106 (or 2256051 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 52.

The spelling of 81436113446416 in words is "eighty-one trillion, four hundred thirty-six billion, one hundred thirteen million, four hundred forty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 2256049 4512098 9024196 18048392 36096784 5089757090401 10179514180802 20359028361604 40718056723208 81436113446416