Search a number
-
+
14783380600 = 2352798910513
BaseRepresentation
bin11011100010010100…
…00111110001111000
31102011021112112201211
431301022013301320
5220234021134400
610442535052504
71032226442662
oct156112076170
942137475654
1014783380600
1162a691871a
122a46b11134
1315179c32b1
14a03557532
155b7cc5dba
hex371287c78

14783380600 has 96 divisors (see below), whose sum is σ = 35200872000. Its totient is φ = 5772349440.

The previous prime is 14783380589. The next prime is 14783380603. The reversal of 14783380600 is 608338741.

14783380600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14783380603) by changing a digit.

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, 1400944 + ... + 1411456.

It is an arithmetic number, because the mean of its divisors is an integer number (366675750).

Almost surely, 214783380600 is an apocalyptic number.

14783380600 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 14783380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17600436000).

14783380600 is an abundant number, since it is smaller than the sum of its proper divisors (20417491400).

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

14783380600 is a wasteful number, since it uses less digits than its factorization.

14783380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697 (or 10688 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 14783380600 in words is "fourteen billion, seven hundred eighty-three million, three hundred eighty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 89 100 158 178 200 316 356 395 445 632 712 790 890 1580 1780 1975 2225 3160 3560 3950 4450 7031 7900 8900 10513 14062 15800 17800 21026 28124 35155 42052 52565 56248 70310 84104 105130 140620 175775 210260 262825 281240 351550 420520 525650 703100 830527 935657 1051300 1406200 1661054 1871314 2102600 3322108 3742628 4152635 4678285 6644216 7485256 8305270 9356570 16610540 18713140 20763175 23391425 33221080 37426280 41526350 46782850 73916903 83052700 93565700 147833806 166105400 187131400 295667612 369584515 591335224 739169030 1478338060 1847922575 2956676120 3695845150 7391690300 14783380600