Search a number
-
+
14670668000 = 25539737811
BaseRepresentation
bin11011010100111000…
…01010000011100000
31101212102110011010002
431222130022003200
5220021142334000
610423431155132
71026360422552
oct155234120340
941772404102
1014670668000
11624923400a
122a15215aa8
1314ca54b351
149d25b74d2
155ace5e8d5
hex36a70a0e0

14670668000 has 96 divisors (see below), whose sum is σ = 36418400928. Its totient is φ = 5807616000.

The previous prime is 14670667993. The next prime is 14670668053. The reversal of 14670668000 is 86607641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369095 + ... + 406905.

It is an arithmetic number, because the mean of its divisors is an integer number (379358343).

Almost surely, 214670668000 is an apocalyptic number.

14670668000 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 14670668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18209200464).

14670668000 is an abundant number, since it is smaller than the sum of its proper divisors (21747732928).

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

14670668000 is an equidigital number, since it uses as much as digits as its factorization.

14670668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37933 (or 37915 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 14670668000 in words is "fourteen billion, six hundred seventy million, six hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 776 800 970 1000 1552 1940 2000 2425 3104 3880 4000 4850 7760 9700 12125 15520 19400 24250 37811 38800 48500 75622 77600 97000 151244 189055 194000 302488 378110 388000 604976 756220 945275 1209952 1512440 1890550 3024880 3667667 3781100 4726375 6049760 7335334 7562200 9452750 14670668 15124400 18338335 18905500 29341336 30248800 36676670 37811000 58682672 73353340 75622000 91691675 117365344 146706680 151244000 183383350 293413360 366766700 458458375 586826720 733533400 916916750 1467066800 1833833500 2934133600 3667667000 7335334000 14670668000