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9938367387 = 331373397977
BaseRepresentation
bin10010100000101111…
…10111001110011011
3221122121210101002000
421100113313032123
5130323210224022
64322101412043
7501165505014
oct112027671633
927577711060
109938367387
11423aa49573
121b1440a023
13c24cbb380
146a3cbc00b
153d27866ac
hex2505f739b

9938367387 has 64 divisors (see below), whose sum is σ = 16130271360. Its totient is φ = 6010785792.

The previous prime is 9938367379. The next prime is 9938367409. The reversal of 9938367387 is 7837638399.

9938367387 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9938367387 - 23 = 9938367379 is a prime.

It is a super-2 number, since 2×99383673872 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9938367287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10171843 + ... + 10172819.

It is an arithmetic number, because the mean of its divisors is an integer number (252035490).

Almost surely, 29938367387 is an apocalyptic number.

9938367387 is a deficient number, since it is larger than the sum of its proper divisors (6191903973).

9938367387 is a wasteful number, since it uses less digits than its factorization.

9938367387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 9938367387 is about 99691.3606437388. The cubic root of 9938367387 is about 2149.9994510184. Note that the first 3 decimals are identical.

The spelling of 9938367387 in words is "nine billion, nine hundred thirty-eight million, three hundred sixty-seven thousand, three hundred eighty-seven".

Divisors: 1 3 9 13 27 39 73 117 219 351 397 657 949 977 1191 1971 2847 2931 3573 5161 8541 8793 10719 12701 15483 25623 26379 28981 38103 46449 71321 86943 114309 139347 213963 260829 342927 376753 387869 641889 782487 927173 1130259 1163607 1925667 2781519 3390777 3490821 5042297 8344557 10172331 10472463 15126891 25033671 28314437 45380673 84943311 136142019 254829933 368087681 764489799 1104263043 3312789129 9938367387