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31384438905 = 3517312891439
BaseRepresentation
bin11101001110101010…
…001000100001111001
310000000020100200112010
4131032222020201321
51003233404021110
622230125240133
72160510220611
oct351652104171
9100006320463
1031384438905
1112345774516
1260ba703049
132c62155a11
14173a269a41
15c3a448020
hex74ea88879

31384438905 has 96 divisors (see below), whose sum is σ = 55595289600. Its totient is φ = 15063797760.

The previous prime is 31384438903. The next prime is 31384438907. The reversal of 31384438905 is 50983448313.

It is an interprime number because it is at equal distance from previous prime (31384438903) and next prime (31384438907).

It is not a de Polignac number, because 31384438905 - 21 = 31384438903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31384438903) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21809176 + ... + 21810614.

It is an arithmetic number, because the mean of its divisors is an integer number (579117600).

Almost surely, 231384438905 is an apocalyptic number.

It is an amenable number.

31384438905 is a deficient number, since it is larger than the sum of its proper divisors (24210850695).

31384438905 is a wasteful number, since it uses less digits than its factorization.

31384438905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 31384438905 in words is "thirty-one billion, three hundred eighty-four million, four hundred thirty-eight thousand, nine hundred five".

Divisors: 1 3 5 15 17 31 51 85 89 93 155 255 267 445 465 527 961 1335 1439 1513 1581 2635 2759 2883 4317 4539 4805 7195 7565 7905 8277 13795 14415 16337 21585 22695 24463 41385 44609 46903 49011 73389 81685 85529 122315 128071 133827 140709 223045 234515 245055 256587 366945 384213 427645 640355 669135 703545 758353 1282935 1382879 1453993 1921065 2177207 2275059 3791765 3970201 4148637 4361979 6531621 6914395 7269965 10886035 11375295 11910603 19851005 20743185 21809895 23508943 32658105 59553015 67493417 70526829 117544715 123076231 202480251 337467085 352634145 369228693 615381155 1012401255 1846143465 2092295927 6276887781 10461479635 31384438905