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64138363280 = 2459713016353
BaseRepresentation
bin111011101110111100…
…011100000110010000
320010112220122102221022
4323232330130012100
52022323410111110
645244215415012
74430260043525
oct735674340620
9203486572838
1064138363280
1125223485702
121051b984468
136081c34c64
14316634314c
151a05c09755
hexeeef1c190

64138363280 has 80 divisors (see below), whose sum is σ = 150798567024. Its totient is φ = 25367347200.

The previous prime is 64138363279. The next prime is 64138363307. The reversal of 64138363280 is 8236383146.

It can be written as a sum of positive squares in 8 ways, for example, as 14205779344 + 49932583936 = 119188^2 + 223456^2 .

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

It is a super-2 number, since 2×641383632802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10092584 + ... + 10098936.

Almost surely, 264138363280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64138363280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75399283512).

64138363280 is an abundant number, since it is smaller than the sum of its proper divisors (86660203744).

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

64138363280 is a wasteful number, since it uses less digits than its factorization.

64138363280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 64138363280 in words is "sixty-four billion, one hundred thirty-eight million, three hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1301 1552 1940 2602 3880 5204 6353 6505 7760 10408 12706 13010 20816 25412 26020 31765 50824 52040 63530 101648 104080 126197 127060 252394 254120 504788 508240 616241 630985 1009576 1232482 1261970 2019152 2464964 2523940 3081205 4929928 5047880 6162410 8265253 9859856 10095760 12324820 16530506 24649640 33061012 41326265 49299280 66122024 82652530 132244048 165305060 330610120 661220240 801729541 1603459082 3206918164 4008647705 6413836328 8017295410 12827672656 16034590820 32069181640 64138363280