Search a number
-
+
6906968096 = 257475691153
BaseRepresentation
bin1100110111010111…
…11111100000100000
3122211100200100000012
412123223333200200
5103121140434341
63101212144052
7333106155140
oct63353774040
918740610005
106906968096
112a248923a6
121409168028
13860c61c92
14497460920
152a658e0eb
hex19baff820

6906968096 has 96 divisors (see below), whose sum is σ = 15913013760. Its totient is φ = 2889547776.

The previous prime is 6906968071. The next prime is 6906968119. The reversal of 6906968096 is 6908696096.

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, 5989856 + ... + 5991008.

It is an arithmetic number, because the mean of its divisors is an integer number (165760560).

Almost surely, 26906968096 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 6906968096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956506880).

6906968096 is an abundant number, since it is smaller than the sum of its proper divisors (9006045664).

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

6906968096 is a wasteful number, since it uses less digits than its factorization.

6906968096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 59.

The square root of 6906968096 is about 83108.1710543554. The cubic root of 6906968096 is about 1904.4189018982.

Subtracting 6906968096 from its reverse (6908696096), we obtain a cube (1728000 = 1203).

The spelling of 6906968096 in words is "six billion, nine hundred six million, nine hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 569 658 752 1138 1153 1316 1504 2276 2306 2632 3983 4552 4612 5264 7966 8071 9104 9224 10528 15932 16142 18208 18448 26743 31864 32284 36896 53486 54191 63728 64568 106972 108382 127456 129136 187201 213944 216764 258272 374402 379337 427888 433528 656057 748804 758674 855776 867056 1312114 1497608 1517348 1734112 2624228 2995216 3034696 4592399 5248456 5990432 6069392 9184798 10496912 12138784 18369596 20993824 30834679 36739192 61669358 73478384 123338716 146956768 215842753 246677432 431685506 493354864 863371012 986709728 1726742024 3453484048 6906968096