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14033645920 = 255723353777
BaseRepresentation
bin11010001000111100…
…00111000101100000
31100020000210002002201
431010132013011200
5212220103132140
610240313422544
71004524010410
oct150436070540
940200702081
1014033645920
115a51699988
122877a0aa54
13142858c4c8
14971b54640
1557207c49a
hex344787160

14033645920 has 96 divisors (see below), whose sum is σ = 38054173248. Its totient is φ = 4790796288.

The previous prime is 14033645903. The next prime is 14033645921. The reversal of 14033645920 is 2954633041.

It is a self number, because there is not a number n which added to its sum of digits gives 14033645920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14033645921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234072 + ... + 287848.

It is an arithmetic number, because the mean of its divisors is an integer number (396397638).

Almost surely, 214033645920 is an apocalyptic number.

14033645920 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 14033645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027086624).

14033645920 is an abundant number, since it is smaller than the sum of its proper divisors (24020527328).

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

14033645920 is a wasteful number, since it uses less digits than its factorization.

14033645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54032 (or 54024 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 14033645920 in words is "fourteen billion, thirty-three million, six hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 233 280 466 560 932 1120 1165 1631 1864 2330 3262 3728 4660 6524 7456 8155 9320 13048 16310 18640 26096 32620 37280 52192 53777 65240 107554 130480 215108 260960 268885 376439 430216 537770 752878 860432 1075540 1505756 1720864 1882195 2151080 3011512 3764390 4302160 6023024 7528780 8604320 12046048 12530041 15057560 25060082 30115120 50120164 60230240 62650205 87710287 100240328 125300410 175420574 200480656 250600820 350841148 400961312 438551435 501201640 701682296 877102870 1002403280 1403364592 1754205740 2004806560 2806729184 3508411480 7016822960 14033645920