Search a number
-
+
13127874000 = 243532187979
BaseRepresentation
bin11000011100111101…
…10111010111010000
31020212220102002121120
430032132313113100
5203341213432000
610010355522240
7643215042063
oct141636672720
936786362546
1013127874000
11562738504a
1226645b9380
131312a248a7
148c77348da
1551c7b06a0
hex30e7b75d0

13127874000 has 80 divisors (see below), whose sum is σ = 42324285120. Its totient is φ = 3500764800.

The previous prime is 13127873987. The next prime is 13127874029. The reversal of 13127874000 is 47872131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087990 + ... + 1099989.

It is an arithmetic number, because the mean of its divisors is an integer number (529053564).

Almost surely, 213127874000 is an apocalyptic number.

13127874000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13127874000 is an abundant number, since it is smaller than the sum of its proper divisors (29196411120).

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

13127874000 is a wasteful number, since it uses less digits than its factorization.

13127874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188005 (or 2187989 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 13127874000 in words is "thirteen billion, one hundred twenty-seven million, eight hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 2187979 4375958 6563937 8751916 10939895 13127874 17503832 21879790 26255748 32819685 35007664 43759580 52511496 54699475 65639370 87519160 105022992 109398950 131278740 164098425 175038320 218797900 262557480 273497375 328196850 437595800 525114960 546994750 656393700 820492125 875191600 1093989500 1312787400 1640984250 2187979000 2625574800 3281968500 4375958000 6563937000 13127874000