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638634334640 = 24597113728303
BaseRepresentation
bin10010100101100011001…
…00101001100110110000
32021001102112011121022012
421102301210221212300
540430410342202030
61205215022102052
764065645164111
oct11226144514660
92231375147265
10638634334640
11226930483a85
12a393141a928
13482b8ac3253
1422ca531a208
151192b9e3095
hex94b19299b0

638634334640 has 80 divisors (see below), whose sum is σ = 1513409885568. Its totient is φ = 250582499328.

The previous prime is 638634334633. The next prime is 638634334687. The reversal of 638634334640 is 46433436836.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512729 + ... + 1241031.

Almost surely, 2638634334640 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 638634334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756704942784).

638634334640 is an abundant number, since it is smaller than the sum of its proper divisors (874775550928).

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

638634334640 is a wasteful number, since it uses less digits than its factorization.

638634334640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728526 (or 728520 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 50.

The spelling of 638634334640 in words is "six hundred thirty-eight billion, six hundred thirty-four million, three hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 113 194 226 388 452 485 565 776 904 970 1130 1552 1808 1940 2260 3880 4520 7760 9040 10961 21922 43844 54805 87688 109610 175376 219220 438440 728303 876880 1456606 2913212 3641515 5826424 7283030 11652848 14566060 29132120 58264240 70645391 82298239 141290782 164596478 282581564 329192956 353226955 411491195 565163128 658385912 706453910 822982390 1130326256 1316771824 1412907820 1645964780 2825815640 3291929560 5651631280 6583859120 7982929183 15965858366 31931716732 39914645915 63863433464 79829291830 127726866928 159658583660 319317167320 638634334640