Search a number
-
+
1068166442754 = 23517423130557
BaseRepresentation
bin11111000101100111010…
…11100110111100000010
310210010010100121111200000
433202303223212330002
5120000101102132004
62134413041540430
7140113105645515
oct17426353467402
93703110544600
101068166442754
113820091232a4
12153026944716
137995c8a3c78
14399b172cd7c
151cbbade0c39
hexf8b3ae6f02

1068166442754 has 96 divisors (see below), whose sum is σ = 2541942539136. Its totient is φ = 335020872960.

The previous prime is 1068166442711. The next prime is 1068166442789. The reversal of 1068166442754 is 4572446618601.

1068166442754 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 166 + 4 + 427 + 54 = 666.

It is a super-2 number, since 2×10681664427542 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1068166442754.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34941244 + ... + 34971800.

It is an arithmetic number, because the mean of its divisors is an integer number (26478568116).

Almost surely, 21068166442754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068166442754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270971269568).

1068166442754 is an abundant number, since it is smaller than the sum of its proper divisors (1473776096382).

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

1068166442754 is a wasteful number, since it uses less digits than its factorization.

1068166442754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34822 (or 34810 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1068166442754 in words is "one trillion, sixty-eight billion, one hundred sixty-six million, four hundred forty-two thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 4231 8262 8462 12693 25386 30557 38079 61114 71927 76158 91671 114237 143854 183342 215781 228474 275013 342711 431562 519469 550026 647343 685422 825039 1028133 1038938 1294686 1558407 1650078 1942029 2056266 2475117 3116814 3884058 4675221 4950234 5826087 7425351 9350442 11652174 14025663 14850702 17478261 28051326 34956522 42076989 84153978 126230967 129286667 252461934 258573334 387860001 775720002 1163580003 2197873339 2327160006 3490740009 4395746678 6593620017 6981480018 10472220027 13187240034 19780860051 20944440054 31416660081 39561720102 59342580153 62833320162 118685160306 178027740459 356055480918 534083221377 1068166442754