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83450399144161 = 76266332
BaseRepresentation
bin10010111110010111001111…
…011001011011100011100001
3101221110210001210120110112211
4102332113033121123203201
541414222404140103121
6453252330100522121
723402043454000000
oct2276271731334341
9357423053513484
1083450399144161
112465412a851175
1294392b59b0341
13377445367203a
1416870413a0c37
1599ab0a4b0ce1
hex4be5cf65b8e1

83450399144161 has 21 divisors (see below), whose sum is σ = 97362336485011. Its totient is φ = 71526227827152.

The previous prime is 83450399144149. The next prime is 83450399144201. The reversal of 83450399144161 is 16144199305438.

It is a happy number.

The square root of 83450399144161 is 9135119.

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., 82650190176225 + 800208967936 = 9091215^2 + 894544^2 .

It is not a de Polignac number, because 83450399144161 - 219 = 83450398619873 is a prime.

It is a super-2 number, since 2×834503991441612 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83450399144096 and 83450399144105.

It is not an unprimeable number, because it can be changed into a prime (83450399144131) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3133332501 + ... + 3133359133.

Almost surely, 283450399144161 is an apocalyptic number.

83450399144161 is the 9135119-th square number.

83450399144161 is the 4567560-th centered octagonal number.

It is an amenable number.

83450399144161 is a deficient number, since it is larger than the sum of its proper divisors (13911937340850).

83450399144161 is an frugal number, since it uses more digits than its factorization.

83450399144161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53308 (or 26640 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 83450399144161 in words is "eighty-three trillion, four hundred fifty billion, three hundred ninety-nine million, one hundred forty-four thousand, one hundred sixty-one".

Divisors: 1 7 49 343 2401 16807 26633 117649 186431 1305017 9135119 63945833 447620831 709316689 3133345817 4965216823 34756517761 243295624327 1703069370289 11921485592023 83450399144161