Search a number
-
+
5694096640 = 28529211727
BaseRepresentation
bin1010100110110010…
…10000010100000000
3112200211110002011011
411103121100110000
543130142043030
62341004130304
7261051010561
oct52331202400
915624402134
105694096640
1124621950a1
12112ab36994
136c98b1c6b
143c0340168
15234d5eb2a
hex153650500

5694096640 has 144 divisors (see below), whose sum is σ = 14195825280. Its totient is φ = 2185666560.

The previous prime is 5694096623. The next prime is 5694096673. The reversal of 5694096640 is 466904965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7831957 + ... + 7832683.

It is an arithmetic number, because the mean of its divisors is an integer number (98582120).

Almost surely, 25694096640 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 5694096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097912640).

5694096640 is an abundant number, since it is smaller than the sum of its proper divisors (8501728640).

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

5694096640 is a wasteful number, since it uses less digits than its factorization.

5694096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The square root of 5694096640 is about 75459.2382680875. The cubic root of 5694096640 is about 1785.6990924483.

The spelling of 5694096640 in words is "five billion, six hundred ninety-four million, ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 211 232 256 290 320 422 464 580 640 727 844 928 1055 1160 1280 1454 1688 1856 2110 2320 2908 3376 3635 3712 4220 4640 5816 6119 6752 7270 7424 8440 9280 11632 12238 13504 14540 16880 18560 21083 23264 24476 27008 29080 30595 33760 37120 42166 46528 48952 54016 58160 61190 67520 84332 93056 97904 105415 116320 122380 135040 153397 168664 186112 195808 210830 232640 244760 270080 306794 337328 391616 421660 465280 489520 613588 674656 766985 783232 843320 930560 979040 1227176 1349312 1533970 1566464 1686640 1958080 2454352 2698624 3067940 3373280 3916160 4448513 4908704 5397248 6135880 6746560 7832320 8897026 9817408 12271760 13493120 17794052 19634816 22242565 24543520 26986240 35588104 39269632 44485130 49087040 71176208 88970260 98174080 142352416 177940520 196348160 284704832 355881040 569409664 711762080 1138819328 1423524160 2847048320 5694096640