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20040850080 = 25325103135119
BaseRepresentation
bin10010101010100001…
…110001101010100000
31220201200101200000200
4102222201301222200
5312020424200310
613112344545200
71306426262226
oct225241615240
956650350020
1020040850080
1185545a0319
123a73782200
131b74cab394
14d818bab16
157c46399c0
hex4aa871aa0

20040850080 has 144 divisors (see below), whose sum is σ = 69053886720. Its totient is φ = 5292301824.

The previous prime is 20040850079. The next prime is 20040850087. The reversal of 20040850080 is 8005804002.

20040850080 is a `hidden beast` number, since 200 + 408 + 50 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (20040850087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80761 + ... + 215879.

It is an arithmetic number, because the mean of its divisors is an integer number (479540880).

Almost surely, 220040850080 is an apocalyptic number.

20040850080 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 20040850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34526943360).

20040850080 is an abundant number, since it is smaller than the sum of its proper divisors (49013036640).

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

20040850080 is a wasteful number, since it uses less digits than its factorization.

20040850080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135243 (or 135232 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 20040850080 in words is "twenty billion, forty million, eight hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1030 1236 1440 1545 1648 1854 2060 2472 3090 3296 3708 4120 4635 4944 6180 7416 8240 9270 9888 12360 14832 16480 18540 24720 29664 37080 49440 74160 135119 148320 270238 405357 540476 675595 810714 1080952 1216071 1351190 1621428 2026785 2161904 2432142 2702380 3242856 4053570 4323808 4864284 5404760 6080355 6485712 8107140 9728568 10809520 12160710 12971424 13917257 16214280 19457136 21619040 24321420 27834514 32428560 38914272 41751771 48642840 55669028 64857120 69586285 83503542 97285680 111338056 125255313 139172570 167007084 194571360 208758855 222676112 250510626 278345140 334014168 417517710 445352224 501021252 556690280 626276565 668028336 835035420 1002042504 1113380560 1252553130 1336056672 1670070840 2004085008 2226761120 2505106260 3340141680 4008170016 5010212520 6680283360 10020425040 20040850080