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6906851056 = 2474237817
BaseRepresentation
bin1100110111010111…
…00010111011110000
3122211100110101110101
412123223202323300
5103121123213211
63101205442144
7333105160000
oct63353427360
918740411411
106906851056
112a24812476
121409110354
13860c20921
14497430000
152a65695c1
hex19bae2ef0

6906851056 has 100 divisors (see below), whose sum is σ = 16292274192. Its totient is φ = 2831017728.

The previous prime is 6906851051. The next prime is 6906851089. The reversal of 6906851056 is 6501586096.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 6906850997 and 6906851015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6906851051) 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 19 ways as a sum of consecutive naturals, for example, 879660 + ... + 887476.

Almost surely, 26906851056 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 6906851056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146137096).

6906851056 is an abundant number, since it is smaller than the sum of its proper divisors (9385423136).

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

6906851056 is an equidigital number, since it uses as much as digits as its factorization.

6906851056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 6906851056 is about 83107.4669088163. The cubic root of 6906851056 is about 1904.4081449137.

The spelling of 6906851056 in words is "six billion, nine hundred six million, eight hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 343 368 392 644 686 784 1127 1288 1372 2254 2401 2576 2744 4508 4802 5488 7817 7889 9016 9604 15634 15778 18032 19208 31268 31556 38416 54719 55223 62536 63112 109438 110446 125072 126224 179791 218876 220892 359582 383033 437752 441784 719164 766066 875504 883568 1258537 1438328 1532132 2517074 2681231 2876656 3064264 5034148 5362462 6128528 8809759 10068296 10724924 17619518 18768617 20136592 21449848 35239036 37537234 42899696 61668313 70478072 75074468 123336626 140956144 150148936 246673252 300297872 431678191 493346504 863356382 986693008 1726712764 3453425528 6906851056