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1648543009936 = 2441278292
BaseRepresentation
bin10111111111010100110…
…100100000110010010000
312211121011210111212222011
4113333110310200302100
5204002204002304221
63301155153552304
7230050301244244
oct27772464406220
95747153455864
101648543009936
11586163608319
122275b9875694
13bc5c2b82364
1459b0b712424
152cd380c81e1
hex17fd4d20c90

1648543009936 has 45 divisors (see below), whose sum is σ = 3274274105323. Its totient is φ = 804064605440.

The previous prime is 1648543009933. The next prime is 1648543009957. The reversal of 1648543009936 is 6399003458461.

The square root of 1648543009936 is 1283956.

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 1136688616336 + 511854393600 = 1066156^2 + 715440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1648543009933) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 210564870 + ... + 210572698.

Almost surely, 21648543009936 is an apocalyptic number.

1648543009936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1648543009936 is the 1283956-th square number.

It is an amenable number.

1648543009936 is a deficient number, since it is larger than the sum of its proper divisors (1625731095387).

1648543009936 is an frugal number, since it uses more digits than its factorization.

1648543009936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15748 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 1648543009936 in words is "one trillion, six hundred forty-eight billion, five hundred forty-three million, nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 41 82 164 328 656 1681 3362 6724 7829 13448 15658 26896 31316 62632 125264 320989 641978 1283956 2567912 5135824 13160549 26321098 52642196 61293241 105284392 122586482 210568784 245172964 490345928 980691856 2513022881 5026045762 10052091524 20104183048 40208366096 103033938121 206067876242 412135752484 824271504968 1648543009936