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168961709336 = 23719222733677
BaseRepresentation
bin1001110101011011100…
…1110001010100011000
3121011010020021011002112
42131112321301110120
510232013144144321
6205341523451452
715131012555450
oct2352671612430
9534106234075
10168961709336
1165724531012
12288b4b26b88
1312c18b01404
14826bbdcd60
1545dd603a5b
hex2756e71518

168961709336 has 96 divisors (see below), whose sum is σ = 382391655840. Its totient is φ = 68552165376.

The previous prime is 168961709297. The next prime is 168961709339. The reversal of 168961709336 is 633907169861.

168961709336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168961709339) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45949130 + ... + 45952806.

It is an arithmetic number, because the mean of its divisors is an integer number (3983246415).

Almost surely, 2168961709336 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 168961709336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191195827920).

168961709336 is an abundant number, since it is smaller than the sum of its proper divisors (213429946504).

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

168961709336 is a wasteful number, since it uses less digits than its factorization.

168961709336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 59.

The spelling of 168961709336 in words is "one hundred sixty-eight billion, nine hundred sixty-one million, seven hundred nine thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2273 2527 2888 3677 4546 5054 7354 9092 10108 14708 15911 18184 20216 25739 29416 31822 43187 51478 63644 69863 86374 102956 127288 139726 172748 205912 279452 302309 345496 489041 558904 604618 820553 978082 1209236 1327397 1641106 1956164 2418472 2654794 3282212 3912328 5309588 5743871 6564424 8357821 9291779 10619176 11487742 16715642 18583558 22975484 33431284 37167116 45950968 58504747 66862568 74334232 117009494 158798599 234018988 317597198 468037976 635194396 1111590193 1270388792 2223180386 3017173381 4446360772 6034346762 8892721544 12068693524 21120213667 24137387048 42240427334 84480854668 168961709336