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6944104960 = 29513208657
BaseRepresentation
bin1100111011110011…
…01010001000000000
3122220221120002012121
412131321222020000
5103210142324320
63105020134024
7334036626652
oct63571521000
918827502177
106944104960
112a43847921
121419697314
13868865560
1449c36a6d2
152a99778aa
hex19de6a200

6944104960 has 80 divisors (see below), whose sum is σ = 17930399256. Its totient is φ = 2563964928.

The previous prime is 6944104943. The next prime is 6944104969. The reversal of 6944104960 is 694014496.

It can be written as a sum of positive squares in 4 ways, for example, as 5623800064 + 1320304896 = 74992^2 + 36336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6944104969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71049 + ... + 137608.

Almost surely, 26944104960 is an apocalyptic number.

It is an amenable number.

6944104960 is an abundant number, since it is smaller than the sum of its proper divisors (10986294296).

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

6944104960 is a wasteful number, since it uses less digits than its factorization.

6944104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208693 (or 208677 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 6944104960 is about 83331.2964017721. The cubic root of 6944104960 is about 1907.8259814013.

The spelling of 6944104960 in words is "six billion, nine hundred forty-four million, one hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 208657 417314 834628 1043285 1669256 2086570 2712541 3338512 4173140 5425082 6677024 8346280 10850164 13354048 13562705 16692560 21700328 26708096 27125410 33385120 43400656 53416192 54250820 66770240 86801312 106832384 108501640 133540480 173602624 217003280 267080960 347205248 434006560 534161920 694410496 868013120 1388820992 1736026240 3472052480 6944104960