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43056665001 = 32724122412
BaseRepresentation
bin101000000110011000…
…001001000110101001
311010010200201012121100
4220012120021012221
51201140001240001
631440245432013
73052661420400
oct500630110651
9133120635540
1043056665001
1117295401769
12841770b609
1340a2416a8c
142126524637
1511c0020586
hexa066091a9

43056665001 has 81 divisors (see below), whose sum is σ = 74463481989. Its totient is φ = 23904115200.

The previous prime is 43056664979. The next prime is 43056665009. The reversal of 43056665001 is 10056665034.

The square root of 43056665001 is 207501.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3757567401 + 39299097600 = 61299^2 + 198240^2 .

It is not a de Polignac number, because 43056665001 - 27 = 43056664873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (43056665009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 178658241 + ... + 178658481.

Almost surely, 243056665001 is an apocalyptic number.

43056665001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

43056665001 is the 207501-st square number.

43056665001 is the 103751-st centered octagonal number.

It is an amenable number.

43056665001 is a deficient number, since it is larger than the sum of its proper divisors (31406816988).

43056665001 is an equidigital number, since it uses as much as digits as its factorization.

43056665001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 43056665001 by its sum of digits (36), we get a square (1550039940036 = 12450062).

The spelling of 43056665001 in words is "forty-three billion, fifty-six million, six hundred sixty-five thousand, one".

Divisors: 1 3 7 9 21 41 49 63 123 147 241 287 369 441 723 861 1681 1687 2009 2169 2583 5043 5061 6027 9881 11767 11809 15129 15183 18081 29643 35301 35427 58081 69167 82369 88929 105903 106281 174243 207501 247107 405121 406567 484169 522729 622503 741321 1215363 1219701 1452507 2381321 2835847 2845969 3646089 3659103 4357521 7143963 8507541 8537907 16669247 19850929 21431889 25522623 25613721 50007741 59552787 97634161 116684729 150023223 178658361 292902483 350054187 683439127 878707449 1050162561 2050317381 4784073889 6150952143 14352221667 43056665001