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20132848680 = 23357154915473
BaseRepresentation
bin10010110000000000…
…101110010000101000
31220222002111200101020
4102300000232100220
5312213002124210
613125432452440
71311624250560
oct226000562050
956862450336
1020132848680
1185a151721a
123a9a54a120
131b8b07cc19
14d8dbc7da0
157cc75d770
hex4b002e428

20132848680 has 128 divisors (see below), whose sum is σ = 69075936000. Its totient is φ = 4598525952.

The previous prime is 20132848627. The next prime is 20132848691. The reversal of 20132848680 is 8684823102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293424 + ... + 1308896.

It is an arithmetic number, because the mean of its divisors is an integer number (539655750).

Almost surely, 220132848680 is an apocalyptic number.

20132848680 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 20132848680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34537968000).

20132848680 is an abundant number, since it is smaller than the sum of its proper divisors (48943087320).

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

20132848680 is a wasteful number, since it uses less digits than its factorization.

20132848680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17043 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 20132848680 in words is "twenty billion, one hundred thirty-two million, eight hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1549 3098 4647 6196 7745 9294 10843 12392 15473 15490 18588 21686 23235 30946 30980 32529 37176 43372 46419 46470 54215 61892 61960 65058 77365 86744 92838 92940 108311 108430 123784 130116 154730 162645 185676 185880 216622 216860 232095 260232 309460 324933 325290 371352 433244 433720 464190 541555 618920 649866 650580 866488 928380 1083110 1299732 1301160 1624665 1856760 2166220 2599464 3249330 4332440 6498660 12997320 23967677 47935354 71903031 95870708 119838385 143806062 167773739 191741416 239676770 287612124 335547478 359515155 479353540 503321217 575224248 671094956 719030310 838868695 958707080 1006642434 1342189912 1438060620 1677737390 2013284868 2516606085 2876121240 3355474780 4026569736 5033212170 6710949560 10066424340 20132848680