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31380833448216 = 23327193277029391
BaseRepresentation
bin1110010001010011010110…
…11011100011000100011000
311010002222102020102211201200
413020221223123203010120
513103120421330320331
6150424053400114200
76416122210135440
oct710515333430430
9133088366384650
1031380833448216
119aa959a4262aa
123629995765960
13146827a232a05
147a6baa265120
1539644a4505e6
hex1c8a6b6e3118

31380833448216 has 96 divisors (see below), whose sum is σ = 102243317030400. Its totient is φ = 8494060178880.

The previous prime is 31380833448199. The next prime is 31380833448271. The reversal of 31380833448216 is 61284433808313.

It is a happy number.

31380833448216 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 0 + 83 + 344 + 8 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1638505120 + ... + 1638524271.

It is an arithmetic number, because the mean of its divisors is an integer number (1065034552400).

Almost surely, 231380833448216 is an apocalyptic number.

31380833448216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31380833448216 is an abundant number, since it is smaller than the sum of its proper divisors (70862483582184).

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

31380833448216 is a wasteful number, since it uses less digits than its factorization.

31380833448216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277029429 (or 3277029422 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 31380833448216 in words is "thirty-one trillion, three hundred eighty billion, eight hundred thirty-three million, four hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 3277029391 6554058782 9831088173 13108117564 19662176346 22939205737 26216235128 29493264519 39324352692 45878411474 58986529038 62263558429 68817617211 78648705384 91756822948 117973058076 124527116858 137635234422 183513645896 186790675287 206452851633 235946116152 249054233716 275270468844 373581350574 412905703266 435844909003 498108467432 550540937688 560372025861 747162701148 825811406532 871689818006 1120744051722 1307534727009 1494325402296 1651622813064 1743379636012 2241488103444 2615069454018 3486759272024 3922604181027 4482976206888 5230138908036 7845208362054 10460277816072 15690416724108 31380833448216