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6440601601 = 725914291559
BaseRepresentation
bin1011111111110001…
…11100100000000001
3121121212010110110001
411333320330200001
5101142243222401
62543032240001
7315414132100
oct57770744001
917555113401
106440601601
112805608345
1212b8b40001
137b8454985
14451542037
1527a66b601
hex17fe3c801

6440601601 has 24 divisors (see below), whose sum is σ = 7629336000. Its totient is φ = 5419671264.

The previous prime is 6440601599. The next prime is 6440601683. The reversal of 6440601601 is 1061060446.

It is not a de Polignac number, because 6440601601 - 21 = 6440601599 is a prime.

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 6440601601.

It is not an unprimeable number, because it can be changed into a prime (6440607601) 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 23 ways as a sum of consecutive naturals, for example, 4130460 + ... + 4132018.

It is an arithmetic number, because the mean of its divisors is an integer number (317889000).

Almost surely, 26440601601 is an apocalyptic number.

It is an amenable number.

6440601601 is a deficient number, since it is larger than the sum of its proper divisors (1188734399).

6440601601 is a wasteful number, since it uses less digits than its factorization.

6440601601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6440601601 is about 80253.3588144446. The cubic root of 6440601601 is about 1860.5534254239.

The spelling of 6440601601 in words is "six billion, four hundred forty million, six hundred one thousand, six hundred one".

Divisors: 1 7 49 59 413 1429 1559 2891 10003 10913 70021 76391 84311 91981 590177 643867 2227811 4131239 4507069 15594677 109162739 131440849 920085943 6440601601