Search a number
-
+
13666760000 = 2654595791
BaseRepresentation
bin11001011101001101…
…00011010101000000
31022021110102100020022
430232212203111000
5210442142310000
610140050033012
7662450354225
oct145646432500
938243370208
1013666760000
115883591083
122794b78768
13139a57344a
1493912d94c
1554ec5a585
hex32e9a3540

13666760000 has 140 divisors (see below), whose sum is σ = 34469466240. Its totient is φ = 5373120000.

The previous prime is 13666759999. The next prime is 13666760017. The reversal of 13666760000 is 6766631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2357105 + ... + 2362895.

Almost surely, 213666760000 is an apocalyptic number.

13666760000 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 13666760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17234733120).

13666760000 is an abundant number, since it is smaller than the sum of its proper divisors (20802706240).

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

13666760000 is an frugal number, since it uses more digits than its factorization.

13666760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 13666760000 in words is "thirteen billion, six hundred sixty-six million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 500 590 625 800 944 1000 1180 1250 1475 1600 1888 2000 2360 2500 2950 3776 4000 4720 5000 5791 5900 7375 8000 9440 10000 11582 11800 14750 18880 20000 23164 23600 28955 29500 36875 40000 46328 47200 57910 59000 73750 92656 94400 115820 118000 144775 147500 185312 231640 236000 289550 295000 341669 370624 463280 472000 579100 590000 683338 723875 926560 1158200 1180000 1366676 1447750 1708345 1853120 2316400 2360000 2733352 2895500 3416690 3619375 4632800 5466704 5791000 6833380 7238750 8541725 9265600 10933408 11582000 13666760 14477500 17083450 21866816 23164000 27333520 28955000 34166900 42708625 46328000 54667040 57910000 68333800 85417250 109334080 115820000 136667600 170834500 213543125 231640000 273335200 341669000 427086250 546670400 683338000 854172500 1366676000 1708345000 2733352000 3416690000 6833380000 13666760000