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168612014336 = 2819331104729
BaseRepresentation
bin1001110100001000001…
…1110010100100000000
3121010012212020210201212
42131002003302210000
510230304133424321
6205243112345252
715116235321503
oct2350203624400
9533185223655
10168612014336
11655650a4a87
12288179a5228
1312b91523cac
1482375b113a
1545bca7a55b
hex27420f2900

168612014336 has 72 divisors (see below), whose sum is σ = 355353079200. Its totient is φ = 79626792960.

The previous prime is 168612014327. The next prime is 168612014377. The reversal of 168612014336 is 633410216861.

It is a super-2 number, since 2×1686120143362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168612014293 and 168612014302.

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 7 ways as a sum of consecutive naturals, for example, 1557620 + ... + 1662348.

Almost surely, 2168612014336 is an apocalyptic number.

168612014336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168612014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177676539600).

168612014336 is an abundant number, since it is smaller than the sum of its proper divisors (186741064864).

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

168612014336 is a wasteful number, since it uses less digits than its factorization.

168612014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105095 (or 105081 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 168612014336 in words is "one hundred sixty-eight billion, six hundred twelve million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 331 608 662 1216 1324 2432 2648 4864 5296 6289 10592 12578 21184 25156 42368 50312 84736 100624 104729 201248 209458 402496 418916 804992 837832 1609984 1675664 1989851 3351328 3979702 6702656 7959404 13405312 15918808 26810624 31837616 34665299 63675232 69330598 127350464 138661196 254700928 277322392 509401856 554644784 658640681 1109289568 1317281362 2218579136 2634562724 4437158272 5269125448 8874316544 10538250896 21076501792 42153003584 84306007168 168612014336