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31820665404 = 22311919262313
BaseRepresentation
bin11101101000101010…
…001101001000111100
310001010122012021210010
4131220222031020330
51010132042243104
622341311143220
72204355123153
oct355052151074
9101118167703
1031820665404
1112549a32990
126200814b10
13300163c3c8
14177c18059a
15c638b5489
hex768a8d23c

31820665404 has 48 divisors (see below), whose sum is σ = 81086503680. Its totient is φ = 9632096640.

The previous prime is 31820665403. The next prime is 31820665427. The reversal of 31820665404 is 40456602813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31820665403) 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 15 ways as a sum of consecutive naturals, for example, 9849 + ... + 252464.

It is an arithmetic number, because the mean of its divisors is an integer number (1689302160).

Almost surely, 231820665404 is an apocalyptic number.

It is an amenable number.

31820665404 is an abundant number, since it is smaller than the sum of its proper divisors (49265838276).

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

31820665404 is a wasteful number, since it uses less digits than its factorization.

31820665404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263250 (or 263248 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 31820665404 in words is "thirty-one billion, eight hundred twenty million, six hundred sixty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 919 1838 2757 3676 5514 10109 11028 20218 30327 40436 60654 121308 262313 524626 786939 1049252 1573878 2885443 3147756 5770886 8656329 11541772 17312658 34625316 241065647 482131294 723196941 964262588 1446393882 2651722117 2892787764 5303444234 7955166351 10606888468 15910332702 31820665404