Search a number
-
+
661168998 = 232717267271
BaseRepresentation
bin100111011010001…
…010001101100110
31201002002212100200
4213122022031212
52323224401443
6145335051330
722245562260
oct4732121546
91632085320
10661168998
1130a238066
12165510b46
13a6c94979
1463b4ab30
153d0a1dd3
hex2768a366

661168998 has 144 divisors (see below), whose sum is σ = 1771620864. Its totient is φ = 174493440.

The previous prime is 661168967. The next prime is 661169027. The reversal of 661168998 is 899861166.

661168998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439603 + ... + 2439873.

Almost surely, 2661168998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 661168998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885810432).

661168998 is an abundant number, since it is smaller than the sum of its proper divisors (1110451866).

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

661168998 is a wasteful number, since it uses less digits than its factorization.

661168998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 661168998 is about 25713.2066845036. The cubic root of 661168998 is about 871.1725055008.

The spelling of 661168998 in words is "six hundred sixty-one million, one hundred sixty-eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 67 102 119 126 134 153 201 238 271 289 306 357 402 469 542 578 603 714 813 867 938 1071 1139 1206 1407 1626 1734 1897 2023 2142 2278 2439 2601 2814 3417 3794 4046 4221 4607 4878 5202 5691 6069 6834 7973 8442 9214 10251 11382 12138 13821 15946 17073 18157 18207 19363 20502 23919 27642 32249 34146 36314 36414 38726 41463 47838 54471 58089 64498 71757 78319 82926 96747 108942 116178 127099 135541 143514 156638 163413 174267 193494 234957 254198 271082 290241 308669 326826 348534 381297 406623 469914 548233 580482 617338 704871 762594 813246 926007 1096466 1143891 1219869 1409742 1644699 1852014 2160683 2287782 2439738 2778021 3289398 4321366 4934097 5247373 5556042 6482049 9868194 10494746 12964098 15742119 19446147 31484238 36731611 38892294 47226357 73463222 94452714 110194833 220389666 330584499 661168998