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168217766112 = 25311231467147
BaseRepresentation
bin1001110010101010001…
…1110110100011100000
3121002012101101220211210
42130222203312203200
510224002222003422
6205140030310120
715103410263664
oct2345243664340
9532171356753
10168217766112
11653825a8500
1228727958340
1312b2a947716
1481db0a68a4
15459815110c
hex272a8f68e0

168217766112 has 144 divisors (see below), whose sum is σ = 501021835776. Its totient is φ = 49330617600.

The previous prime is 168217766089. The next prime is 168217766131. The reversal of 168217766112 is 211667712861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126523 + ... + 593669.

It is an arithmetic number, because the mean of its divisors is an integer number (3479318304).

Almost surely, 2168217766112 is an apocalyptic number.

168217766112 is a gapful number since it is divisible by the number (12) 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 168217766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250510917888).

168217766112 is an abundant number, since it is smaller than the sum of its proper divisors (332804069664).

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

168217766112 is a wasteful number, since it uses less digits than its factorization.

168217766112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467213 (or 467194 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The spelling of 168217766112 in words is "one hundred sixty-eight billion, two hundred seventeen million, seven hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 341 352 363 372 484 496 528 682 726 744 968 992 1023 1056 1364 1452 1488 1936 2046 2728 2904 2976 3751 3872 4092 5456 5808 7502 8184 10912 11253 11616 15004 16368 22506 30008 32736 45012 60016 90024 120032 180048 360096 467147 934294 1401441 1868588 2802882 3737176 5138617 5605764 7474352 10277234 11211528 14481557 14948704 15415851 20554468 22423056 28963114 30831702 41108936 43444671 44846112 56524787 57926228 61663404 82217872 86889342 113049574 115852456 123326808 159297127 164435744 169574361 173778684 226099148 231704912 246653616 318594254 339148722 347557368 452198296 463409824 477891381 493307232 637188508 678297444 695114736 904396592 955782762 1274377016 1356594888 1390229472 1752268397 1808793184 1911565524 2548754032 2713189776 3504536794 3823131048 5097508064 5256805191 5426379552 7009073588 7646262096 10513610382 14018147176 15292524192 21027220764 28036294352 42054441528 56072588704 84108883056 168217766112