Search a number
-
+
168274362268872 = 233329119232253101
BaseRepresentation
bin100110010000101101101101…
…100101100111110011001000
3211001210212112122002210102000
4212100231231211213303020
5134024001343220100442
61353520101432511000
750305264365124026
oct4620555545476310
9731725478083360
10168274362268872
1149687835662972
1216a5884754b460
1372b8286a34182
142d7a745db7716
15146c307d01d4c
hex990b6d967cc8

168274362268872 has 128 divisors (see below), whose sum is σ = 483587788464000. Its totient is φ = 54152699731200.

The previous prime is 168274362268853. The next prime is 168274362268913. The reversal of 168274362268872 is 278862263472861.

It is a happy number.

168274362268872 is a `hidden beast` number, since 1 + 6 + 8 + 27 + 436 + 2 + 26 + 88 + 72 = 666.

168274362268872 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 168274362268872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73559122 + ... + 75812222.

It is an arithmetic number, because the mean of its divisors is an integer number (3778029597375).

Almost surely, 2168274362268872 is an apocalyptic number.

168274362268872 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 168274362268872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241793894232000).

168274362268872 is an abundant number, since it is smaller than the sum of its proper divisors (315313426195128).

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

168274362268872 is a wasteful number, since it uses less digits than its factorization.

168274362268872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265068 (or 2265058 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 168274362268872 in words is "one hundred sixty-eight trillion, two hundred seventy-four billion, three hundred sixty-two million, two hundred sixty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 11923 23846 35769 47692 71538 95384 107307 143076 214614 286152 321921 345767 429228 643842 691534 858456 1037301 1287684 1383068 2074602 2253101 2575368 2766136 3111903 4149204 4506202 6223806 6759303 8298408 9012404 9335709 12447612 13518606 18024808 18671418 20277909 24895224 27037212 37342836 40555818 54074424 60833727 65339929 74685672 81111636 121667454 130679858 162223272 196019787 243334908 261359716 392039574 486669816 522719432 588059361 784079148 1176118722 1568158296 1764178083 2352237444 3528356166 4704474888 7056712332 14113424664 26863723223 53727446446 80591169669 107454892892 161182339338 214909785784 241773509007 322364678676 483547018014 644729357352 725320527021 779047973467 967094036028 1450641054042 1558095946934 1934188072056 2337143920401 2901282108084 3116191893868 4674287840802 5802564216168 6232383787736 7011431761203 9348575681604 14022863522406 18697151363208 21034295283609 28045727044812 42068590567218 56091454089624 84137181134436 168274362268872