Search a number
-
+
317968559104 = 210782753639
BaseRepresentation
bin1001010000010000110…
…01110010110000000000
31010101201202221101222011
410220020121302300000
520202144422342404
6402023413422304
731654362105130
oct4501031626000
91111652841864
10317968559104
11112938a64749
125175b03a994
1323ca46a13c1
1411565706ac0
15840ee06604
hex4a08672c00

317968559104 has 88 divisors (see below), whose sum is σ = 727322353920. Its totient is φ = 136104923136.

The previous prime is 317968559101. The next prime is 317968559107. The reversal of 317968559104 is 401955869713.

It is an interprime number because it is at equal distance from previous prime (317968559101) and next prime (317968559107).

It is a super-2 number, since 2×3179685591042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (317968559101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5901117 + ... + 5954755.

Almost surely, 2317968559104 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 317968559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363661176960).

317968559104 is an abundant number, since it is smaller than the sum of its proper divisors (409353794816).

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

317968559104 is an equidigital number, since it uses as much as digits as its factorization.

317968559104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54493 (or 54475 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 317968559104 in words is "three hundred seventeen billion, nine hundred sixty-eight million, five hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 827 896 1024 1654 1792 3308 3584 5789 6616 7168 11578 13232 23156 26464 46312 52928 53639 92624 105856 107278 185248 211712 214556 370496 375473 423424 429112 740992 750946 846848 858224 1481984 1501892 1716448 2963968 3003784 3432896 5927936 6007568 6865792 12015136 13731584 24030272 27463168 44359453 48060544 54926336 88718906 96121088 177437812 192242176 310516171 354875624 384484352 621032342 709751248 1242064684 1419502496 2484129368 2839004992 4968258736 5678009984 9936517472 11356019968 19873034944 22712039936 39746069888 45424079872 79492139776 158984279552 317968559104