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1068854093316 = 223237246572
BaseRepresentation
bin11111000110111001010…
…10110010011000000100
310210011220021112202220100
433203130222302120010
5120003003121441231
62135005204404100
7140136125613612
oct17433452623004
93704807482810
101068854093316
113823312a8349
121531990a6630
1379a3c1ab2a9
1439a38bb06b2
151cc0b4741e6
hexf8dcab2604

1068854093316 has 81 divisors (see below), whose sum is σ = 2777417911359. Its totient is φ = 346580944128.

The previous prime is 1068854093297. The next prime is 1068854093347. The reversal of 1068854093316 is 6133904588601.

The square root of 1068854093316 is 1033854.

It is a perfect power (a square), and thus also a powerful number.

1068854093316 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 540 + 93 + 3 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 607819716 + 1068246273600 = 24654^2 + 1033560^2 .

It is a super-3 number, since 3×10688540933163 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 229513260 + ... + 229517916.

Almost surely, 21068854093316 is an apocalyptic number.

1068854093316 is the 1033854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068854093316

1068854093316 is an abundant number, since it is smaller than the sum of its proper divisors (1708563818043).

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

1068854093316 is an frugal number, since it uses more digits than its factorization.

1068854093316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1068854093316 in words is "one trillion, sixty-eight billion, eight hundred fifty-four million, ninety-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 4657 5476 8214 9314 12321 13971 16428 18628 24642 27942 41913 49284 55884 83826 167652 172309 344618 516927 689236 1033854 1550781 2067708 3101562 6203124 6375433 12750866 19126299 21687649 25501732 38252598 43375298 57378897 65062947 76505196 86750596 114757794 130125894 195188841 229515588 260251788 390377682 780755364 802443013 1604886026 2407329039 3209772052 4814658078 7221987117 9629316156 14443974234 28887948468 29690391481 59380782962 89071174443 118761565924 178142348886 267213523329 356284697772 534427046658 1068854093316