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6478003040 = 2553111231163
BaseRepresentation
bin1100000100001111…
…00111101101100000
3121201110111122120112
412002013213231200
5101231332044130
62550450030452
7316350055145
oct60207475540
917643448515
106478003040
112824733623
121309578428
137c311b7c2
144564ba3cc
1527daa8495
hex1821e7b60

6478003040 has 96 divisors (see below), whose sum is σ = 15825632256. Its totient is φ = 2503226880.

The previous prime is 6478003033. The next prime is 6478003079. The reversal of 6478003040 is 403008746.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6478002988 and 6478003006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5569499 + ... + 5570661.

It is an arithmetic number, because the mean of its divisors is an integer number (164850336).

Almost surely, 26478003040 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 6478003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7912816128).

6478003040 is an abundant number, since it is smaller than the sum of its proper divisors (9347629216).

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

6478003040 is a wasteful number, since it uses less digits than its factorization.

6478003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 6478003040 is about 80486.0425166998. The cubic root of 6478003040 is about 1864.1479709630.

The spelling of 6478003040 in words is "six billion, four hundred seventy-eight million, three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1123 1163 1240 2246 2326 2480 4492 4652 4960 5615 5815 8984 9304 11230 11630 17968 18608 22460 23260 34813 35936 36053 37216 44920 46520 69626 72106 89840 93040 139252 144212 174065 179680 180265 186080 278504 288424 348130 360530 557008 576848 696260 721060 1114016 1153696 1306049 1392520 1442120 2612098 2785040 2884240 5224196 5570080 5768480 6530245 10448392 13060490 20896784 26120980 40487519 41793568 52241960 80975038 104483920 161950076 202437595 208967840 323900152 404875190 647800304 809750380 1295600608 1619500760 3239001520 6478003040