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13144666356 = 22321723989867
BaseRepresentation
bin11000011110111101…
…11011000011110100
31020221002000020101200
430033132323003310
5203410013310411
610012155452500
7643510551303
oct141736730364
936832006350
1013144666356
115635904428
12266a157130
131316353cb3
148c9a6643a
1551decae56
hex30f7bb0f4

13144666356 has 72 divisors (see below), whose sum is σ = 35328908160. Its totient is φ = 4106516736.

The previous prime is 13144666351. The next prime is 13144666387. The reversal of 13144666356 is 65366644131.

It is a super-2 number, since 2×131446663562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144666351) 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, 101335 + ... + 191201.

It is an arithmetic number, because the mean of its divisors is an integer number (490679280).

Almost surely, 213144666356 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 13144666356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664454080).

13144666356 is an abundant number, since it is smaller than the sum of its proper divisors (22184241804).

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

13144666356 is a wasteful number, since it uses less digits than its factorization.

13144666356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90133 (or 90128 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 13144666356 in words is "thirteen billion, one hundred forty-four million, six hundred sixty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 239 306 478 612 717 956 1434 2151 2868 4063 4302 8126 8604 12189 16252 24378 36567 48756 73134 89867 146268 179734 269601 359468 539202 808803 1078404 1527739 1617606 3055478 3235212 4583217 6110956 9166434 13749651 18332868 21478213 27499302 42956426 54998604 64434639 85912852 128869278 193303917 257738556 365129621 386607834 730259242 773215668 1095388863 1460518484 2190777726 3286166589 4381555452 6572333178 13144666356