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68181618176 = 297113168353
BaseRepresentation
bin111111011111111100…
…001110111000000000
320111222200202001221122
4333133330032320000
52104113443240201
651153332411412
74632414122630
oct773774167000
9214880661848
1068181618176
1126a08822981
1211269a76b68
1365777bc889
14342b3166c0
151b90b75e1b
hexfdff0ee00

68181618176 has 80 divisors (see below), whose sum is σ = 157070241504. Its totient is φ = 28961931264.

The previous prime is 68181618101. The next prime is 68181618179. The reversal of 68181618176 is 67181618186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68181618179) 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, 320816 + ... + 489168.

Almost surely, 268181618176 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 68181618176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78535120752).

68181618176 is an abundant number, since it is smaller than the sum of its proper divisors (88888623328).

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

68181618176 is a wasteful number, since it uses less digits than its factorization.

68181618176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168491 (or 168475 counting only the distinct ones).

The product of its digits is 774144, while the sum is 53.

The spelling of 68181618176 in words is "sixty-eight billion, one hundred eighty-one million, six hundred eighteen thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 256 448 452 512 791 896 904 1582 1792 1808 3164 3584 3616 6328 7232 12656 14464 25312 28928 50624 57856 101248 168353 202496 336706 404992 673412 1178471 1346824 2356942 2693648 4713884 5387296 9427768 10774592 18855536 19023889 21549184 37711072 38047778 43098368 75422144 76095556 86196736 133167223 150844288 152191112 266334446 301688576 304382224 532668892 603377152 608764448 1065337784 1217528896 2130675568 2435057792 4261351136 4870115584 8522702272 9740231168 17045404544 34090809088 68181618176