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1485162721 = 717193741433
BaseRepresentation
bin101100010000101…
…1100100011100001
310211111121002020201
41120201130203201
511020200201341
6403212105201
751542450320
oct13041344341
93744532221
101485162721
116a2376809
12355465201
131a88c8a13
141013600b7
158a5b8331
hex5885c8e1

1485162721 has 64 divisors (see below), whose sum is σ = 1994872320. Its totient is φ = 1074954240.

The previous prime is 1485162697. The next prime is 1485162743. The reversal of 1485162721 is 1272615841.

It is a 4-Lehmer number, since φ(1485162721) divides (1485162721-1)4.

It is a cyclic number.

It is not a de Polignac number, because 1485162721 - 25 = 1485162689 is a prime.

It is a super-3 number, since 3×14851627213 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1485162751) 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 63 ways as a sum of consecutive naturals, for example, 3429721 + ... + 3430153.

It is an arithmetic number, because the mean of its divisors is an integer number (31169880).

It is a Poulet number, since it divides 21485162720-1.

Almost surely, 21485162721 is an apocalyptic number.

It is an amenable number.

1485162721 is a deficient number, since it is larger than the sum of its proper divisors (509709599).

1485162721 is a wasteful number, since it uses less digits than its factorization.

1485162721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554.

The product of its digits is 26880, while the sum is 37.

The square root of 1485162721 is about 38537.8089802729. The cubic root of 1485162721 is about 1140.9274081022.

The spelling of 1485162721 in words is "one billion, four hundred eighty-five million, one hundred sixty-two thousand, seven hundred twenty-one".

Divisors: 1 7 17 19 37 41 119 133 259 287 323 433 629 697 703 779 1517 2261 3031 4403 4879 4921 5453 7361 8227 10619 11951 13243 16021 17753 25789 28823 51527 57589 83657 92701 112147 124271 139859 180523 201761 272357 301801 304399 337307 489991 656861 979013 1906499 2112607 2130793 2361149 3429937 4598027 5174783 5734219 11166637 12480359 36223481 40139533 78166459 87362513 212166103 1485162721