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6445430641 = 132989192097
BaseRepresentation
bin1100000000010110…
…10111011101110001
3121122012012210122101
412000023113131301
5101200012240031
62543323540401
7315503153656
oct60013273561
917565183571
106445430641
112808306491
1212ba68a701
137b94559b0
1445203bc2d
1527acc2361
hex1802d7771

6445430641 has 16 divisors (see below), whose sum is σ = 7261304400. Its totient is φ = 5679894528.

The previous prime is 6445430603. The next prime is 6445430657. The reversal of 6445430641 is 1460345446.

It can be written as a sum of positive squares in 8 ways, for example, as 286320241 + 6159110400 = 16921^2 + 78480^2 .

It is not a de Polignac number, because 6445430641 - 211 = 6445428593 is a prime.

It is a super-2 number, since 2×64454306412 = 83087152295883341762, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6445430641.

It is not an unprimeable number, because it can be changed into a prime (6445430671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62496 + ... + 129601.

It is an arithmetic number, because the mean of its divisors is an integer number (453831525).

Almost surely, 26445430641 is an apocalyptic number.

It is an amenable number.

6445430641 is a deficient number, since it is larger than the sum of its proper divisors (815873759).

6445430641 is a wasteful number, since it uses less digits than its factorization.

6445430641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192228.

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 6445430641 is about 80283.4393944355. The cubic root of 6445430641 is about 1861.0183117233.

The spelling of 6445430641 in words is "six billion, four hundred forty-five million, four hundred thirty thousand, six hundred forty-one".

Divisors: 1 13 29 89 377 1157 2581 33553 192097 2497261 5570813 17096633 72420569 222256229 495802357 6445430641