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31928444076676 = 2272173223332
BaseRepresentation
bin1110100001001111010111…
…00100010100001010000100
311012001022220011110002000211
413100213223210110022010
513141103423140423201
6151523420312245204
76503516415522100
oct720475344241204
9135038804402024
1031928444076676
11a19a860343624
1236b7b433a0804
1314a7abb0b6494
147c54b8724900
153a57eaca1651
hex1d09eb914284

31928444076676 has 81 divisors (see below), whose sum is σ = 65403101639631. Its totient is φ = 13598691484224.

The previous prime is 31928444076637. The next prime is 31928444076677. The reversal of 31928444076676 is 67667044482913.

The square root of 31928444076676 is 5650526.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3153373299076 + 28775070777600 = 1775774^2 + 5364240^2 .

It is not an unprimeable number, because it can be changed into a prime (31928444076677) 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 26 ways as a sum of consecutive naturals, for example, 13685572806 + ... + 13685575138.

Almost surely, 231928444076676 is an apocalyptic number.

31928444076676 is the 5650526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31928444076676

31928444076676 is an abundant number, since it is smaller than the sum of its proper divisors (33474657562955).

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

31928444076676 is an frugal number, since it uses more digits than its factorization.

31928444076676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 67.

The spelling of 31928444076676 in words is "thirty-one trillion, nine hundred twenty-eight billion, four hundred forty-four million, seventy-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2333 2422 4666 4844 8477 9332 16331 16954 29929 32662 33908 59858 65324 114317 119716 209503 228634 403609 419006 457268 807218 838012 1466521 1614436 2825263 2933042 5442889 5650526 5866084 10885778 11301052 19776841 21771556 38100223 39553682 69824357 76200446 79107364 139648714 152400892 266701561 279297428 488770499 533403122 941619797 977540998 1066806244 1883239594 1955081996 3421393493 3766479188 6591338579 6842786986 13182677158 13685573972 26365354316 46139370053 92278740106 162900224881 184557480212 325800449762 651600899524 1140301574167 2280603148334 4561206296668 7982111019169 15964222038338 31928444076676