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13145540000 = 2554837919
BaseRepresentation
bin11000011111000100…
…10000010110100000
31020221010122121210212
430033202100112200
5203410224240000
610012230313252
7643521150335
oct141742202640
936833577725
1013145540000
11563635084a
12266a4b8828
13131659b848
148c9c1298c
1551e0eec35
hex30f8905a0

13145540000 has 120 divisors (see below), whose sum is σ = 32733771840. Its totient is φ = 5194208000.

The previous prime is 13145539999. The next prime is 13145540011. The reversal of 13145540000 is 4554131.

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 19 ways as a sum of consecutive naturals, for example, 1656041 + ... + 1663959.

It is an arithmetic number, because the mean of its divisors is an integer number (272781432).

Almost surely, 213145540000 is an apocalyptic number.

13145540000 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 13145540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366885920).

13145540000 is an abundant number, since it is smaller than the sum of its proper divisors (19588231840).

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

13145540000 is an frugal number, since it uses more digits than its factorization.

13145540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 13145540000 in words is "thirteen billion, one hundred forty-five million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 625 664 800 830 1000 1250 1328 1660 2000 2075 2500 2656 3320 4000 4150 5000 6640 7919 8300 10000 10375 13280 15838 16600 20000 20750 31676 33200 39595 41500 51875 63352 66400 79190 83000 103750 126704 158380 166000 197975 207500 253408 316760 332000 395950 415000 633520 657277 791900 830000 989875 1267040 1314554 1583800 1660000 1979750 2629108 3167600 3286385 3959500 4949375 5258216 6335200 6572770 7919000 9898750 10516432 13145540 15838000 16431925 19797500 21032864 26291080 31676000 32863850 39595000 52582160 65727700 79190000 82159625 105164320 131455400 158380000 164319250 262910800 328638500 410798125 525821600 657277000 821596250 1314554000 1643192500 2629108000 3286385000 6572770000 13145540000