Search a number
-
+
166844664 = 23337176491
BaseRepresentation
bin10011111000111…
…01100011111000
3102121221120212000
421330131203320
5320203012124
624320021000
74064104410
oct1174354370
9377846760
10166844664
11861a7958
1247a61760
132874906c
1418231640
15e9aa6c9
hex9f1d8f8

166844664 has 128 divisors (see below), whose sum is σ = 560908800. Its totient is φ = 44858880.

The previous prime is 166844617. The next prime is 166844683. The reversal of 166844664 is 466448661.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 22459 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (4382100).

Almost surely, 2166844664 is an apocalyptic number.

166844664 is a gapful number since it is divisible by the number (14) 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 166844664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280454400).

166844664 is an abundant number, since it is smaller than the sum of its proper divisors (394064136).

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

166844664 is a wasteful number, since it uses less digits than its factorization.

166844664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530 (or 6520 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 166844664 is about 12916.8364547981. The cubic root of 166844664 is about 550.5170498621.

The spelling of 166844664 in words is "one hundred sixty-six million, eight hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 6491 8568 12852 12982 19473 25704 25964 38946 45437 51928 58419 77892 90874 110347 116838 136311 155784 175257 181748 220694 233676 272622 331041 350514 363496 408933 441388 467352 545244 662082 701028 772429 817866 882776 993123 1090488 1226799 1324164 1402056 1544858 1635732 1986246 2317287 2453598 2648328 2979369 3089716 3271464 3972492 4634574 4907196 5958738 6179432 6951861 7944984 9269148 9814392 11917476 13903722 18538296 20855583 23834952 27807444 41711166 55614888 83422332 166844664