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13161660800 = 27528874637
BaseRepresentation
bin11000100000111111…
…10000000110000000
31020222020222122101112
430100133300012000
5203423341121200
610014004022452
7644105161631
oct142037600600
936866878345
1013161660800
115644461622
122673991a28
131319a24392
148cc00b888
15520736535
hex3107f0180

13161660800 has 96 divisors (see below), whose sum is σ = 32557090320. Its totient is φ = 5257594880.

The previous prime is 13161660769. The next prime is 13161660803. The reversal of 13161660800 is 806616131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161660803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2836082 + ... + 2840718.

Almost surely, 213161660800 is an apocalyptic number.

13161660800 is a gapful number since it is divisible by the number (10) 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 13161660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278545160).

13161660800 is an abundant number, since it is smaller than the sum of its proper divisors (19395429520).

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

13161660800 is an equidigital number, since it uses as much as digits as its factorization.

13161660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 13161660800 in words is "thirteen billion, one hundred sixty-one million, six hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 887 1600 1774 3200 3548 4435 4637 7096 8870 9274 14192 17740 18548 22175 23185 28384 35480 37096 44350 46370 56768 70960 74192 88700 92740 113536 115925 141920 148384 177400 185480 231850 283840 296768 354800 370960 463700 567680 593536 709600 741920 927400 1419200 1483840 1854800 2838400 2967680 3709600 4113019 7419200 8226038 14838400 16452076 20565095 32904152 41130190 65808304 82260380 102825475 131616608 164520760 205650950 263233216 329041520 411301900 526466432 658083040 822603800 1316166080 1645207600 2632332160 3290415200 6580830400 13161660800