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6400703456 = 2571710316319
BaseRepresentation
bin1011111011000001…
…01111101111100000
3121112002001102110222
411331200233233200
5101102040002311
62535045142212
7314421040010
oct57540575740
917462042428
106400703456
112795037274
1212a76ba968
137b00c55c4
1444a117c40
15276dd9adb
hex17d82fbe0

6400703456 has 96 divisors (see below), whose sum is σ = 15397724160. Its totient is φ = 2556573696.

The previous prime is 6400703423. The next prime is 6400703459. The reversal of 6400703456 is 6543070046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400703459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384065 + ... + 400383.

It is an arithmetic number, because the mean of its divisors is an integer number (160392960).

Almost surely, 26400703456 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 6400703456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

6400703456 is an abundant number, since it is smaller than the sum of its proper divisors (8997020704).

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

6400703456 is a wasteful number, since it uses less digits than its factorization.

6400703456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 6400703456 is about 80004.3964791936. The cubic root of 6400703456 is about 1856.7035549845.

The spelling of 6400703456 in words is "six billion, four hundred million, seven hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 103 112 119 136 206 224 238 272 412 476 544 721 824 952 1442 1648 1751 1904 2884 3296 3502 3808 5768 7004 11536 12257 14008 16319 23072 24514 28016 32638 49028 56032 65276 98056 114233 130552 196112 228466 261104 277423 392224 456932 522208 554846 913864 1109692 1680857 1827728 1941961 2219384 3361714 3655456 3883922 4438768 6723428 7767844 8877536 11765999 13446856 15535688 23531998 26893712 28574569 31071376 47063996 53787424 57149138 62142752 94127992 114298276 188255984 200021983 228596552 376511968 400043966 457193104 800087932 914386208 1600175864 3200351728 6400703456