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13108891680 = 253259103397
BaseRepresentation
bin11000011010101100…
…11101000000100000
31020211120200200202200
430031112131000200
5203321334013210
610004441013200
7642564512043
oct141526350040
936746620680
1013108891680
11561769a385
12265a184200
13130bb09751
148c4dd2c5a
1551acb10c0
hex30d59d020

13108891680 has 72 divisors (see below), whose sum is σ = 44734097772. Its totient is φ = 3495704064.

The previous prime is 13108891651. The next prime is 13108891693. The reversal of 13108891680 is 8619880131.

It can be written as a sum of positive squares in 2 ways, for example, as 12505501584 + 603390096 = 111828^2 + 24564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4550259 + ... + 4553138.

Almost surely, 213108891680 is an apocalyptic number.

13108891680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13108891680 is an abundant number, since it is smaller than the sum of its proper divisors (31625206092).

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

13108891680 is a wasteful number, since it uses less digits than its factorization.

13108891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103418 (or 9103407 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 13108891680 in words is "thirteen billion, one hundred eight million, eight hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9103397 18206794 27310191 36413588 45516985 54620382 72827176 81930573 91033970 109240764 136550955 145654352 163861146 182067940 218481528 273101910 291308704 327722292 364135880 409652865 436963056 546203820 655444584 728271760 819305730 873926112 1092407640 1310889168 1456543520 1638611460 2184815280 2621778336 3277222920 4369630560 6554445840 13108891680