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14426485800 = 23352117120533
BaseRepresentation
bin11010110111110001…
…01011010000101000
31101020101222102002220
431123320223100220
5214021140021200
610343305354040
71020334051236
oct153370532050
941211872086
1014426485800
116133414341
122967498920
13148ba94a3c
149abdb3956
155967c94a0
hex35be2b428

14426485800 has 96 divisors (see below), whose sum is σ = 44762477280. Its totient is φ = 3843590400.

The previous prime is 14426485781. The next prime is 14426485837. The reversal of 14426485800 is 858462441.

14426485800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692334 + ... + 712866.

It is an arithmetic number, because the mean of its divisors is an integer number (466275805).

Almost surely, 214426485800 is an apocalyptic number.

14426485800 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 14426485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22381238640).

14426485800 is an abundant number, since it is smaller than the sum of its proper divisors (30335991480).

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

14426485800 is a wasteful number, since it uses less digits than its factorization.

14426485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21723 (or 21714 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 14426485800 in words is "fourteen billion, four hundred twenty-six million, four hundred eighty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1171 2342 3513 4684 5855 7026 9368 11710 14052 17565 20533 23420 28104 29275 35130 41066 46840 58550 61599 70260 82132 87825 102665 117100 123198 140520 164264 175650 205330 234200 246396 307995 351300 410660 492792 513325 615990 702600 821320 1026650 1231980 1539975 2053300 2463960 3079950 4106600 6159900 12319800 24044143 48088286 72132429 96176572 120220715 144264858 192353144 240441430 288529716 360662145 480882860 577059432 601103575 721324290 961765720 1202207150 1442648580 1803310725 2404414300 2885297160 3606621450 4808828600 7213242900 14426485800