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6440461027 = 71113192911677
BaseRepresentation
bin1011111111110000…
…11010001011100011
3121121211212022121121
411333320122023203
5101142224223102
62543025233111
7315413005210
oct57770321343
917554768547
106440461027
112805521770
1212b8a92797
137b84059b0
14451506b07
1527a63eb37
hex17fe1a2e3

6440461027 has 64 divisors (see below), whose sum is σ = 9417139200. Its totient is φ = 4236986880.

The previous prime is 6440461003. The next prime is 6440461031. The reversal of 6440461027 is 7201640446.

It is a de Polignac number, because none of the positive numbers 2k-6440461027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6440460983 and 6440461001.

It is not an unprimeable number, because it can be changed into a prime (6440461057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545713 + ... + 557389.

It is an arithmetic number, because the mean of its divisors is an integer number (147142800).

Almost surely, 26440461027 is an apocalyptic number.

6440461027 is a deficient number, since it is larger than the sum of its proper divisors (2976678173).

6440461027 is a wasteful number, since it uses less digits than its factorization.

6440461027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11756.

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 6440461027 is about 80252.4829958550. The cubic root of 6440461027 is about 1860.5398890414.

The spelling of 6440461027 in words is "six billion, four hundred forty million, four hundred sixty-one thousand, twenty-seven".

Divisors: 1 7 11 13 19 29 77 91 133 143 203 209 247 319 377 551 1001 1463 1729 2233 2639 2717 3857 4147 6061 7163 11677 19019 29029 42427 50141 78793 81739 128447 151801 221863 338633 551551 899129 1062607 1553041 1669811 2370431 2440493 2884219 3724963 4402229 6434027 11688677 17083451 20189533 26074741 30815603 31726409 45038189 48424519 70774297 83642351 222084863 338971633 495420079 585496457 920065861 6440461027