Search a number
-
+
10164170556 = 22324711353161
BaseRepresentation
bin10010111011101010…
…01110111100111100
3222020100200100210100
421131311032330330
5131304011424211
64400325241100
7506610011211
oct113565167474
928210610710
1010164170556
114346455861
121b77b63190
13c5ca0b307
146c5c99b08
153e74db156
hex25dd4ef3c

10164170556 has 72 divisors (see below), whose sum is σ = 26472124224. Its totient is φ = 3286563840.

The previous prime is 10164170461. The next prime is 10164170591. The reversal of 10164170556 is 65507146101.

It is a happy number.

10164170556 is a `hidden beast` number, since 1 + 0 + 1 + 641 + 7 + 0 + 5 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10164170556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164616 + ... + 217776.

It is an arithmetic number, because the mean of its divisors is an integer number (367668392).

Almost surely, 210164170556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10164170556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13236062112).

10164170556 is an abundant number, since it is smaller than the sum of its proper divisors (16307953668).

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

10164170556 is a wasteful number, since it uses less digits than its factorization.

10164170556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53331 (or 53326 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10164170556 in words is "ten billion, one hundred sixty-four million, one hundred seventy thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 113 141 188 226 282 339 423 452 564 678 846 1017 1356 1692 2034 4068 5311 10622 15933 21244 31866 47799 53161 63732 95598 106322 159483 191196 212644 318966 478449 637932 956898 1913796 2498567 4997134 6007193 7495701 9994268 12014386 14991402 18021579 22487103 24028772 29982804 36043158 44974206 54064737 72086316 89948412 108129474 216258948 282338071 564676142 847014213 1129352284 1694028426 2541042639 3388056852 5082085278 10164170556