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2031323616 = 25337247981
BaseRepresentation
bin111100100010011…
…1000100111100000
312020120021221011000
41321010320213200
513130004323431
6533322152000
7101223652200
oct17104704740
95216257130
102031323616
119526a1553
12488352600
13264ac394a
14153ad0400
15bd4ed9e6
hex791389e0

2031323616 has 144 divisors (see below), whose sum is σ = 6892134480. Its totient is φ = 580366080.

The previous prime is 2031323599. The next prime is 2031323617. The reversal of 2031323616 is 6163231302.

It is a happy number.

2031323616 is a `hidden beast` number, since 20 + 3 + 1 + 3 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2031323616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031323617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18346 + ... + 66326.

It is an arithmetic number, because the mean of its divisors is an integer number (47862045).

Almost surely, 22031323616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031323616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446067240).

2031323616 is an abundant number, since it is smaller than the sum of its proper divisors (4860810864).

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

2031323616 is a wasteful number, since it uses less digits than its factorization.

2031323616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48014 (or 47993 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2031323616 is about 45070.2076320933. The cubic root of 2031323616 is about 1266.4645540248.

Adding to 2031323616 its reverse (6163231302), we get a palindrome (8194554918).

The spelling of 2031323616 in words is "two billion, thirty-one million, three hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 47981 95962 143943 191924 287886 335867 383848 431829 575772 671734 767696 863658 1007601 1151544 1295487 1343468 1535392 1727316 2015202 2303088 2351069 2590974 2686936 3022803 3454632 4030404 4606176 4702138 5181948 5373872 6045606 6909264 7053207 8060808 9068409 9404276 10363896 10747744 12091212 13818528 14106414 16121616 18136818 18808552 20727792 21159621 24182424 28212828 32243232 36273636 37617104 41455584 42319242 48364848 56425656 63478863 72547272 75234208 84638484 96729696 112851312 126957726 145094544 169276968 225702624 253915452 290189088 338553936 507830904 677107872 1015661808 2031323616