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13172765148 = 22323118165213
BaseRepresentation
bin11000100010010100…
…00111000111011100
31021000000212210200200
430101022013013130
5203434211441043
610015042023500
7644301441054
oct142112070734
937000783620
1013172765148
11564a756474
122677647b90
13131c1117ba
148cd69c564
155216cb7d3
hex3112871dc

13172765148 has 72 divisors (see below), whose sum is σ = 34562376576. Its totient is φ = 4225737600.

The previous prime is 13172765141. The next prime is 13172765161. The reversal of 13172765148 is 84156727131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13172765141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169390 + ... + 234602.

It is an arithmetic number, because the mean of its divisors is an integer number (480033008).

Almost surely, 213172765148 is an apocalyptic number.

13172765148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13172765148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17281188288).

13172765148 is an abundant number, since it is smaller than the sum of its proper divisors (21389611428).

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

13172765148 is a wasteful number, since it uses less digits than its factorization.

13172765148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65435 (or 65430 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 13172765148 in words is "thirteen billion, one hundred seventy-two million, seven hundred sixty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 181 186 279 362 372 543 558 724 1086 1116 1629 2172 3258 5611 6516 11222 16833 22444 33666 50499 65213 67332 100998 130426 195639 201996 260852 391278 586917 782556 1173834 2021603 2347668 4043206 6064809 8086412 11803553 12129618 18194427 23607106 24259236 35410659 36388854 47214212 70821318 72777708 106231977 141642636 212463954 365910143 424927908 731820286 1097730429 1463640572 2195460858 3293191287 4390921716 6586382574 13172765148