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638358043338 = 234291283105907
BaseRepresentation
bin10010100101000010001…
…10101011101011001010
32021000201021021112220000
421102201012223223022
540424324124341323
61205131352143430
764056051561111
oct11224106535312
92230637245800
10638358043338
112267a9523264
12a3874997b76
13482737a6982
1422c7a758c78
1511912618e43
hex94a11abaca

638358043338 has 80 divisors (see below), whose sum is σ = 1480886146080. Its totient is φ = 205286495904.

The previous prime is 638358043283. The next prime is 638358043339. The reversal of 638358043338 is 833340853836.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (638358043339) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5974581 + ... + 6080487.

It is an arithmetic number, because the mean of its divisors is an integer number (18511076826).

Almost surely, 2638358043338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638358043338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740443073040).

638358043338 is an abundant number, since it is smaller than the sum of its proper divisors (842528102742).

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

638358043338 is a wasteful number, since it uses less digits than its factorization.

638358043338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107233 (or 107224 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 638358043338 in words is "six hundred thirty-eight billion, three hundred fifty-eight million, forty-three thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1283 1566 2349 2566 3849 4698 7698 11547 23094 34641 37207 69282 74414 103923 105907 111621 207846 211814 223242 317721 334863 635442 669726 953163 1004589 1906326 2009178 2859489 3013767 3071303 5718978 6027534 6142606 8578467 9213909 17156934 18427818 27641727 55283454 82925181 135878681 165850362 248775543 271757362 407636043 497551086 815272086 1222908129 2445816258 3668724387 3940481749 7337448774 7880963498 11006173161 11821445247 22012346322 23642890494 35464335741 70928671482 106393007223 212786014446 319179021669 638358043338