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638315996913 = 3372329077039
BaseRepresentation
bin10010100100111101001…
…10010010011011110001
32021000121100011101001000
421102132212102123301
540424232343400123
61205123251032213
764055031310560
oct11223646223361
92230540141030
10638315996913
11226787815151
12a386289b669
1348267b7482a
1422c74d31bd7
151190dab0b43
hex949e9926f1

638315996913 has 96 divisors (see below), whose sum is σ = 1131184947200. Its totient is φ = 348459037344.

The previous prime is 638315996911. The next prime is 638315996921. The reversal of 638315996913 is 319699513836.

638315996913 is a `hidden beast` number, since 6 + 3 + 8 + 31 + 599 + 6 + 9 + 1 + 3 = 666.

638315996913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 638315996913 - 21 = 638315996911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (638315996911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90679248 + ... + 90686286.

Almost surely, 2638315996913 is an apocalyptic number.

638315996913 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

638315996913 is a deficient number, since it is larger than the sum of its proper divisors (492868950287).

638315996913 is a wasteful number, since it uses less digits than its factorization.

638315996913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008 (or 7979 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 638315996913 in words is "six hundred thirty-eight billion, three hundred fifteen million, nine hundred ninety-six thousand, nine hundred thirteen".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 529 621 907 1449 1587 2721 3703 4347 4761 6349 7039 8163 11109 14283 19047 20861 21117 24489 33327 49273 57141 62583 63351 99981 146027 147819 161897 171423 187749 190053 438081 443457 479803 485691 563247 1133279 1314243 1330371 1439409 1457073 3358621 3399837 3723631 3942729 4318227 4371219 6384373 10075863 10199511 11170893 12954681 19153119 26065417 30227589 30598533 33512679 44690611 57459357 78196251 90682767 100538037 134071833 146840579 172378071 234588753 402215499 440521737 703766259 1027884053 1206646497 1321565211 3083652159 3377333317 3964695633 9250956477 10131999951 23641333219 27752869431 30395999853 70923999657 91187999559 212771998971 638315996913