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5695842768 = 2437114732789
BaseRepresentation
bin1010100110111111…
…11010100111010000
3112200221201210101120
411103133322213100
543131113432033
62341105402240
7261101602410
oct52337724720
915627653346
105695842768
112463177a80
12112b639380
136ca073985
143c0676640
152350a71b3
hex1537fa9d0

5695842768 has 160 divisors (see below), whose sum is σ = 18735943680. Its totient is φ = 1447918080.

The previous prime is 5695842749. The next prime is 5695842769. The reversal of 5695842768 is 8672485965.

It is a super-3 number, since 3×56958427683 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5695842769) 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 31 ways as a sum of consecutive naturals, for example, 157318 + ... + 190106.

It is an arithmetic number, because the mean of its divisors is an integer number (117099648).

Almost surely, 25695842768 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 5695842768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9367971840).

5695842768 is an abundant number, since it is smaller than the sum of its proper divisors (13040100912).

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

5695842768 is a wasteful number, since it uses less digits than its factorization.

5695842768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32865 (or 32859 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The square root of 5695842768 is about 75470.8073893476. The cubic root of 5695842768 is about 1785.8816054796.

The spelling of 5695842768 in words is "five billion, six hundred ninety-five million, eight hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2632 3102 3619 3696 3948 4136 5264 6204 7238 7896 8272 10857 12408 14476 15792 21714 24816 28952 32789 43428 57904 65578 86856 98367 131156 173712 196734 229523 262312 360679 393468 459046 524624 688569 721358 786936 918092 1082037 1377138 1442716 1541083 1573872 1836184 2164074 2524753 2754276 2885432 3082166 3672368 4328148 4623249 5049506 5508552 5770864 6164332 7574259 8656296 9246498 10099012 10787581 11017104 12328664 15148518 16951913 17312592 18492996 20198024 21575162 24657328 30297036 32362743 33903826 36985992 40396048 43150324 50855739 60594072 64725486 67807652 73971984 86300648 101711478 118663391 121188144 129450972 135615304 172601296 203422956 237326782 258901944 271230608 355990173 406845912 474653564 517803888 711980346 813691824 949307128 1423960692 1898614256 2847921384 5695842768