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20305271760 = 2435413920441
BaseRepresentation
bin10010111010010010…
…011101101111010000
31221102002221200101020
4102322102131233100
5313041122144020
613154512235440
71316116651014
oct227222355720
957362850336
1020305271760
11867a884234
123b2823bb80
131bb7a00107
14da8a6c544
157dc96bc40
hex4ba49dbd0

20305271760 has 80 divisors (see below), whose sum is σ = 62964630720. Its totient is φ = 5413166080.

The previous prime is 20305271743. The next prime is 20305271809. The reversal of 20305271760 is 6717250302.

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

It is a super-2 number, since 2×203052717602 (a number of 21 digits) contains 22 as substring.

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, 983140 + ... + 1003580.

It is an arithmetic number, because the mean of its divisors is an integer number (787057884).

Almost surely, 220305271760 is an apocalyptic number.

20305271760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20305271760 is an abundant number, since it is smaller than the sum of its proper divisors (42659358960).

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

20305271760 is a wasteful number, since it uses less digits than its factorization.

20305271760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24596 (or 24590 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 20305271760 in words is "twenty billion, three hundred five million, two hundred seventy-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4139 8278 12417 16556 20441 20695 24834 33112 40882 41390 49668 61323 62085 66224 81764 82780 99336 102205 122646 124170 163528 165560 198672 204410 245292 248340 306615 327056 331120 408820 490584 496680 613230 817640 981168 993360 1226460 1635280 2452920 4905840 84605299 169210598 253815897 338421196 423026495 507631794 676842392 846052990 1015263588 1269079485 1353684784 1692105980 2030527176 2538158970 3384211960 4061054352 5076317940 6768423920 10152635880 20305271760