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1649315203856 = 24294789849763
BaseRepresentation
bin11000000000000010110…
…110001100101100010000
312211200011121112101212222
4120000002312030230100
5204010244143010411
63301403540440212
7230105365630415
oct30000266145420
95750147471788
101649315203856
1158651a487011
122277943a9068
13bc6b6b4aa38
1459b820c010c
152cd80cab4db
hex18002d8cb10

1649315203856 has 80 divisors (see below), whose sum is σ = 3414011846400. Its totient is φ = 770523393024.

The previous prime is 1649315203853. The next prime is 1649315203871. The reversal of 1649315203856 is 6583025139461.

It is a junction number, because it is equal to n+sod(n) for n = 1649315203798 and 1649315203807.

It is not an unprimeable number, because it can be changed into a prime (1649315203853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516031 + ... + 2365793.

It is an arithmetic number, because the mean of its divisors is an integer number (42675148080).

Almost surely, 21649315203856 is an apocalyptic number.

1649315203856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649315203856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707005923200).

1649315203856 is an abundant number, since it is smaller than the sum of its proper divisors (1764696642544).

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

1649315203856 is a wasteful number, since it uses less digits than its factorization.

1649315203856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849936 (or 849930 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 1649315203856 in words is "one trillion, six hundred forty-nine billion, three hundred fifteen million, two hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 47 58 89 94 116 178 188 232 356 376 464 712 752 1363 1424 2581 2726 4183 5162 5452 8366 10324 10904 16732 20648 21808 33464 41296 66928 121307 242614 485228 849763 970456 1699526 1940912 3399052 6798104 13596208 24643127 39938861 49286254 75628907 79877722 98572508 151257814 159755444 197145016 302515628 319510888 394290032 605031256 639021776 1158226969 1210062512 2193238303 2316453938 3554558629 4386476606 4632907876 7109117258 8772953212 9265815752 14218234516 17545906424 18531631504 28436469032 35091812848 56872938064 103082200241 206164400482 412328800964 824657601928 1649315203856