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168121076864 = 2713318573803
BaseRepresentation
bin1001110010010011001…
…1000000110010000000
3121001221122110121010112
42130210303000302000
510223302443424424
6205122254050452
715101124401066
oct2344463006200
9531848417115
10168121076864
1165332a68434
12286bb4a9a28
1312b138c2b50
1481cc2d8036
15458e90260e
hex2724cc0c80

168121076864 has 128 divisors (see below), whose sum is σ = 372860167680. Its totient is φ = 74983956480.

The previous prime is 168121076857. The next prime is 168121076873. The reversal of 168121076864 is 468670121861.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44205587 + ... + 44209389.

It is an arithmetic number, because the mean of its divisors is an integer number (2912970060).

Almost surely, 2168121076864 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 168121076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186430083840).

168121076864 is an abundant number, since it is smaller than the sum of its proper divisors (204739090816).

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

168121076864 is a wasteful number, since it uses less digits than its factorization.

168121076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 168121076864 in words is "one hundred sixty-eight billion, one hundred twenty-one million, seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 403 416 496 806 832 857 992 1612 1664 1714 1984 3224 3428 3803 3968 6448 6856 7606 11141 12896 13712 15212 22282 25792 26567 27424 30424 44564 49439 51584 53134 54848 60848 89128 98878 106268 109696 117893 121696 178256 197756 212536 235786 243392 345371 356512 395512 425072 471572 486784 690742 713024 791024 850144 943144 1381484 1426048 1532609 1582048 1700288 1886288 2762968 3065218 3164096 3259171 3400576 3772576 5525936 6130436 6328192 6518342 7545152 11051872 12260872 13036684 15090304 22103744 24521744 26073368 42369223 44207488 49043488 52146736 84738446 98086976 101034301 104293472 169476892 196173952 202068602 208586944 338953784 404137204 417173888 677907568 808274408 1313445913 1355815136 1616548816 2626891826 2711630272 3233097632 5253783652 5423260544 6466195264 10507567304 12932390528 21015134608 42030269216 84060538432 168121076864