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20173416960 = 29354164067
BaseRepresentation
bin10010110010011011…
…011110101000000000
31221001220211202121010
4102302123132220000
5312303343320320
613133442200520
71312626133464
oct226233365000
957056752533
1020173416960
118612405824
123ab0053140
131b965b5318
14d953484a4
157d10c3ae0
hex4b26dea00

20173416960 has 160 divisors (see below), whose sum is σ = 66065896512. Its totient is φ = 5248286720.

The previous prime is 20173416959. The next prime is 20173416961. The reversal of 20173416960 is 6961437102.

It is an interprime number because it is at equal distance from previous prime (20173416959) and next prime (20173416961).

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (20173416961) 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, 282847 + ... + 346913.

Almost surely, 220173416960 is an apocalyptic number.

20173416960 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 20173416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33032948256).

20173416960 is an abundant number, since it is smaller than the sum of its proper divisors (45892479552).

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

20173416960 is an equidigital number, since it uses as much as digits as its factorization.

20173416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64134 (or 64118 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 20173416960 in words is "twenty billion, one hundred seventy-three million, four hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 615 640 656 768 820 960 984 1230 1280 1312 1536 1640 1920 1968 2460 2560 2624 3280 3840 3936 4920 5248 6560 7680 7872 9840 10496 13120 15744 19680 20992 26240 31488 39360 52480 62976 64067 78720 104960 128134 157440 192201 256268 314880 320335 384402 512536 640670 768804 961005 1025072 1281340 1537608 1922010 2050144 2562680 2626747 3075216 3844020 4100288 5125360 5253494 6150432 7688040 7880241 8200576 10250720 10506988 12300864 13133735 15376080 15760482 16401152 20501440 21013976 24601728 26267470 30752160 31520964 32802304 39401205 41002880 42027952 49203456 52534940 61504320 63041928 78802410 82005760 84055904 98406912 105069880 123008640 126083856 157604820 164011520 168111808 210139760 246017280 252167712 315209640 336223616 420279520 492034560 504335424 630419280 672447232 840559040 1008670848 1260838560 1344894464 1681118080 2017341696 2521677120 3362236160 4034683392 5043354240 6724472320 10086708480 20173416960