Search a number
-
+
168178729216 = 28194712
BaseRepresentation
bin1001110010100000111…
…0111100000100000000
3121002002122221122021211
42130220032330010000
510223412223313331
6205132113455504
715102424416541
oct2345016740400
9532078848254
10168178729216
1165362565503
1228716871594
1312b2282a374
1481d5c244c8
1545949de8b1
hex27283bc100

168178729216 has 135 divisors (see below), whose sum is σ = 359411539823. Its totient is φ = 78541585920.

The previous prime is 168178729181. The next prime is 168178729223. The reversal of 168178729216 is 612927871861.

The square root of 168178729216 is 410096.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2368714461 + ... + 2368714531.

Almost surely, 2168178729216 is an apocalyptic number.

168178729216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

168178729216 is the 410096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168178729216

168178729216 is an abundant number, since it is smaller than the sum of its proper divisors (191232810607).

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

168178729216 is an frugal number, since it uses more digits than its factorization.

168178729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 92 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 58.

The spelling of 168178729216 in words is "one hundred sixty-eight billion, one hundred seventy-eight million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 256 284 304 361 568 608 722 1136 1216 1349 1444 2272 2432 2698 2888 4544 4864 5041 5396 5776 6859 9088 10082 10792 11552 13718 18176 20164 21584 23104 25631 27436 40328 43168 46208 51262 54872 80656 86336 92416 95779 102524 109744 130321 161312 172672 191558 205048 219488 260642 322624 345344 383116 410096 438976 486989 521284 645248 766232 820192 877952 973978 1042568 1290496 1532464 1640384 1755904 1819801 1947956 2085136 3064928 3280768 3639602 3895912 4170272 6129856 6561536 7279204 7791824 8340544 9252791 12259712 14558408 15583648 16681088 18505582 24519424 29116816 31167296 33362176 34576219 37011164 58233632 62334592 69152438 74022328 116467264 124669184 138304876 148044656 232934528 276609752 296089312 465869056 553219504 592178624 656948161 1106439008 1184357248 1313896322 2212878016 2368714496 2627792644 4425756032 5255585288 8851512064 10511170576 21022341152 42044682304 84089364608 168178729216