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166542714 = 232131947797
BaseRepresentation
bin10011110110100…
…11110101111010
3102121101020122200
421323103311322
5320113331324
624305331030
74061406162
oct1173236572
9377336580
10166542714
1186011008
1247936a76
13286717b0
14181935a2
15e94aec9
hex9ed3d7a

166542714 has 96 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 47454336.

The previous prime is 166542713. The next prime is 166542743. The reversal of 166542714 is 417245661.

166542714 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (166542713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208564 + ... + 209360.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2166542714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166542714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

166542714 is an abundant number, since it is smaller than the sum of its proper divisors (251736966).

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

166542714 is a wasteful number, since it uses less digits than its factorization.

166542714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 166542714 is about 12905.1429283058. The cubic root of 166542714 is about 550.1847467515.

The spelling of 166542714 in words is "one hundred sixty-six million, five hundred forty-two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 47 57 78 94 114 117 141 171 234 247 282 342 423 494 611 741 797 846 893 1222 1482 1594 1786 1833 2223 2391 2679 3666 4446 4782 5358 5499 7173 8037 10361 10998 11609 14346 15143 16074 20722 23218 30286 31083 34827 37459 45429 62166 69654 74918 90858 93249 104481 112377 136287 186498 196859 208962 224754 272574 337131 393718 486967 590577 674262 711721 973934 1181154 1423442 1460901 1771731 2135163 2921802 3543462 4270326 4382703 6405489 8765406 9252373 12810978 18504746 27757119 55514238 83271357 166542714