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6444646040 = 2357139165587
BaseRepresentation
bin1100000000010000…
…10111111010011000
3121122010201221101002
412000020113322120
5101144312133130
62543255044132
7315463405340
oct60010277230
917563657332
106444646040
11280791aa58
1212ba370648
137b923c831
14451cb5d20
1527abb9b45
hex180217e98

6444646040 has 64 divisors (see below), whose sum is σ = 16691270400. Its totient is φ = 2193683328.

The previous prime is 6444646007. The next prime is 6444646097. The reversal of 6444646040 is 406464446.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6444645985 and 6444646003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43874 + ... + 121713.

It is an arithmetic number, because the mean of its divisors is an integer number (260801100).

Almost surely, 26444646040 is an apocalyptic number.

It is an amenable number.

6444646040 is an abundant number, since it is smaller than the sum of its proper divisors (10246624360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6444646040 is a wasteful number, since it uses less digits than its factorization.

6444646040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165744 (or 165740 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The square root of 6444646040 is about 80278.5528021028. The cubic root of 6444646040 is about 1860.9427948618.

The spelling of 6444646040 in words is "six billion, four hundred forty-four million, six hundred forty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 556 695 973 1112 1390 1946 2780 3892 4865 5560 7784 9730 19460 38920 165587 331174 662348 827935 1159109 1324696 1655870 2318218 3311740 4636436 5795545 6623480 9272872 11591090 23016593 23182180 46033186 46364360 92066372 115082965 161116151 184132744 230165930 322232302 460331860 644464604 805580755 920663720 1288929208 1611161510 3222323020 6444646040