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8130548480 = 285611011031
BaseRepresentation
bin1111001001001111…
…00101001100000000
3202222122001122202012
413210213211030000
5113122410022410
63422441512052
7405324343655
oct74447451400
922878048665
108130548480
1134a253445a
1216aaaa2628
139c75c1442
14571b6bc2c
15328bd6605
hex1e49e5300

8130548480 has 144 divisors (see below), whose sum is σ = 20009844288. Its totient is φ = 3164160000.

The previous prime is 8130548443. The next prime is 8130548497. The reversal of 8130548480 is 848450318.

It is a super-2 number, since 2×81305484802 (a number of 21 digits) contains 22 as substring.

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, 7885565 + ... + 7886595.

It is an arithmetic number, because the mean of its divisors is an integer number (138957252).

Almost surely, 28130548480 is an apocalyptic number.

8130548480 is a gapful number since it is divisible by the number (80) 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 8130548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004922144).

8130548480 is an abundant number, since it is smaller than the sum of its proper divisors (11879295808).

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

8130548480 is a wasteful number, since it uses less digits than its factorization.

8130548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 8130548480 is about 90169.5540634421. The cubic root of 8130548480 is about 2010.8203939654.

Adding to 8130548480 its reverse (848450318), we get a palindrome (8978998798).

The spelling of 8130548480 in words is "eight billion, one hundred thirty million, five hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 101 122 128 160 202 244 256 305 320 404 488 505 610 640 808 976 1010 1031 1220 1280 1616 1952 2020 2062 2440 3232 3904 4040 4124 4880 5155 6161 6464 7808 8080 8248 9760 10310 12322 12928 15616 16160 16496 19520 20620 24644 25856 30805 32320 32992 39040 41240 49288 61610 62891 64640 65984 78080 82480 98576 104131 123220 125782 129280 131968 164960 197152 208262 246440 251564 263936 314455 329920 394304 416524 492880 503128 520655 628910 659840 788608 833048 985760 1006256 1041310 1257820 1319680 1577216 1666096 1971520 2012512 2082620 2515640 3332192 3943040 4025024 4165240 5031280 6351991 6664384 7886080 8050048 8330480 10062560 12703982 13328768 16100096 16660960 20125120 25407964 26657536 31759955 33321920 40250240 50815928 63519910 66643840 80500480 101631856 127039820 133287680 203263712 254079640 406527424 508159280 813054848 1016318560 1626109696 2032637120 4065274240 8130548480