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20330439920 = 2457281129197
BaseRepresentation
bin10010111011110010…
…011110010011110000
31221110212022100121022
4102323302132103300
5313114043034140
613201211515012
71316543613410
oct227362362360
957425270538
1020330439920
11869300446a
123b34758a68
131bbcca2a0b
14dac140640
157dec8e0b5
hex4bbc9e4f0

20330439920 has 80 divisors (see below), whose sum is σ = 54213547968. Its totient is φ = 6945576960.

The previous prime is 20330439919. The next prime is 20330439953. The reversal of 20330439920 is 2993403302.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 92762 + ... + 221958.

Almost surely, 220330439920 is an apocalyptic number.

20330439920 is a gapful number since it is divisible by the number (20) 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 20330439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27106773984).

20330439920 is an abundant number, since it is smaller than the sum of its proper divisors (33883108048).

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

20330439920 is a wasteful number, since it uses less digits than its factorization.

20330439920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129498 (or 129492 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 20330439920 in words is "twenty billion, three hundred thirty million, four hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 281 560 562 1124 1405 1967 2248 2810 3934 4496 5620 7868 9835 11240 15736 19670 22480 31472 39340 78680 129197 157360 258394 516788 645985 904379 1033576 1291970 1808758 2067152 2583940 3617516 4521895 5167880 7235032 9043790 10335760 14470064 18087580 36175160 36304357 72350320 72608714 145217428 181521785 254130499 290434856 363043570 508260998 580869712 726087140 1016521996 1270652495 1452174280 2033043992 2541304990 2904348560 4066087984 5082609980 10165219960 20330439920