Search a number
-
+
97150158945 = 335733167679
BaseRepresentation
bin101101001111010011…
…0011100100001100001
3100021202120011102021000
41122132212130201201
53042430420041240
6112344041022213
710006320504000
oct1323646344141
9307676142230
1097150158945
1138223806364
12169b3484969
139213281568
1449b8784c37
1527d8e57430
hex169e99c861

97150158945 has 128 divisors (see below), whose sum is σ = 207912960000. Its totient is φ = 42978237120.

The previous prime is 97150158899. The next prime is 97150158971. The reversal of 97150158945 is 54985105179.

It is a happy number.

97150158945 is a `hidden beast` number, since 9 + 7 + 1 + 50 + 1 + 589 + 4 + 5 = 666.

It is not a de Polignac number, because 97150158945 - 26 = 97150158881 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 97150158891 and 97150158900.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1401616 + ... + 1469294.

It is an arithmetic number, because the mean of its divisors is an integer number (1624320000).

Almost surely, 297150158945 is an apocalyptic number.

It is an amenable number.

97150158945 is an abundant number, since it is smaller than the sum of its proper divisors (110762801055).

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

97150158945 is a wasteful number, since it uses less digits than its factorization.

97150158945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67745 (or 67725 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 97150158945 in words is "ninety-seven billion, one hundred fifty million, one hundred fifty-eight thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 93 105 135 147 155 189 217 245 279 315 343 441 465 651 735 837 945 1029 1085 1323 1395 1519 1715 1953 2205 3087 3255 4185 4557 5145 5859 6615 7595 9261 9765 10633 13671 15435 22785 29295 31899 41013 46305 53165 67679 68355 95697 159495 203037 205065 287091 338395 473753 478485 609111 1015185 1421259 1435455 1827333 2098049 2368765 3045555 3316271 4263777 6294147 7106295 9136665 9948813 10490245 12791331 14686343 16581355 18882441 21318885 23213897 29846439 31470735 44059029 49744065 56647323 63956655 69641691 73431715 89539317 94412205 102804401 116069485 132177087 149232195 208925073 220295145 283236615 308413203 348208455 396531261 447696585 514022005 626775219 660885435 719630807 925239609 1044625365 1542066015 1982656305 2158892421 2775718827 3133876095 3598154035 4626198045 6476677263 10794462105 13878594135 19430031789 32383386315 97150158945