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6478406792 = 231121321992
BaseRepresentation
bin1100000100010010…
…01010010010001000
3121201111021011102022
412002021022102020
5101231433004132
62550502424012
7316353356234
oct60211122210
917644234368
106478406792
112824989a00
121309732008
137c3230500
144565835c4
1527db37e12
hex18224a488

6478406792 has 108 divisors (see below), whose sum is σ = 14530748085. Its totient is φ = 2704553280.

The previous prime is 6478406791. The next prime is 6478406873. The reversal of 6478406792 is 2976048746.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5539229476 + 939177316 = 74426^2 + 30646^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=56914.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6478406791) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32554709 + ... + 32554907.

Almost surely, 26478406792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6478406792

6478406792 is an abundant number, since it is smaller than the sum of its proper divisors (8052341293).

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

6478406792 is a wasteful number, since it uses less digits than its factorization.

6478406792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 53.

The square root of 6478406792 is about 80488.5506889023. The cubic root of 6478406792 is about 1864.1866988360.

The spelling of 6478406792 in words is "six billion, four hundred seventy-eight million, four hundred six thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 199 242 286 338 398 484 572 676 796 968 1144 1352 1573 1592 1859 2189 2587 3146 3718 4378 5174 6292 7436 8756 10348 12584 14872 17512 20449 20696 24079 28457 33631 39601 40898 48158 56914 67262 79202 81796 96316 113828 134524 158404 163592 192632 227656 269048 313027 316808 369941 435611 514813 626054 739882 871222 1029626 1252108 1479764 1742444 2059252 2504216 2959528 3484888 4069351 4118504 4791721 5662943 6692569 8138702 9583442 11325886 13385138 16277404 19166884 22651772 26770276 32554808 38333768 45303544 53540552 62292373 73618259 124584746 147236518 249169492 294473036 498338984 588946072 809800849 1619601698 3239203396 6478406792