Search a number
-
+
97166586825 = 33527111869487
BaseRepresentation
bin101101001111110010…
…1000111001111001001
3100021210201002001002000
41122133211013033021
53042444121234300
6112345425101213
710006610234460
oct1323745071711
9307721061060
1097166586825
1138232006920
12169b8a87809
1392167b3ab9
1449baa1d9d7
1527da5eec00
hex169f9473c9

97166586825 has 96 divisors (see below), whose sum is σ = 222543851520. Its totient is φ = 40380897600.

The previous prime is 97166586799. The next prime is 97166586931. The reversal of 97166586825 is 52868566179.

It is not a de Polignac number, because 97166586825 - 27 = 97166586697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882769 + ... + 986718.

It is an arithmetic number, because the mean of its divisors is an integer number (2318165120).

Almost surely, 297166586825 is an apocalyptic number.

It is an amenable number.

97166586825 is an abundant number, since it is smaller than the sum of its proper divisors (125377264695).

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

97166586825 is a wasteful number, since it uses less digits than its factorization.

97166586825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869524 (or 1869513 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 97166586825 in words is "ninety-seven billion, one hundred sixty-six million, five hundred eighty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 135 165 175 189 225 231 275 297 315 385 495 525 675 693 825 945 1155 1485 1575 1925 2079 2475 3465 4725 5775 7425 10395 17325 51975 1869487 5608461 9347435 13086409 16825383 20564357 28042305 39259227 46737175 50476149 61693071 65432045 84126915 102821785 117777681 140211525 143950499 185079213 196296135 252380745 308465355 327160225 353333043 420634575 431851497 514108925 555237639 588888405 719752495 925396065 981480675 1261903725 1295554491 1542326775 1766665215 2159257485 2776188195 2944442025 3598762475 3886663473 4626980325 6477772455 8833326075 10796287425 13880940975 19433317365 32388862275 97166586825