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16950766481 = 11232914271619
BaseRepresentation
bin11111100100101100…
…00010101110010001
31121202022212011012222
433302112002232101
5234203344011411
611442001430425
71140025065155
oct176226025621
947668764188
1016950766481
1172092a1820
12335093b415
1317a1a45b4c
14b6b345065
156931ee4db
hex3f2582b91

16950766481 has 32 divisors (see below), whose sum is σ = 19987430400. Its totient is φ = 14212770880.

The previous prime is 16950766477. The next prime is 16950766507. The reversal of 16950766481 is 18466705961.

16950766481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16950766481 - 22 = 16950766477 is a prime.

It is a super-2 number, since 2×169507664812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16950756481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10469090 + ... + 10470708.

It is an arithmetic number, because the mean of its divisors is an integer number (624607200).

Almost surely, 216950766481 is an apocalyptic number.

16950766481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16950766481 is a deficient number, since it is larger than the sum of its proper divisors (3036663919).

16950766481 is a wasteful number, since it uses less digits than its factorization.

16950766481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 16950766481 in words is "sixteen billion, nine hundred fifty million, seven hundred sixty-six thousand, four hundred eighty-one".

Divisors: 1 11 23 29 253 319 667 1427 1619 7337 15697 17809 32821 37237 41383 46951 361031 409607 455213 516461 951809 1079873 2310313 10469899 11878603 25413443 53137199 66999077 584509189 736989847 1540978771 16950766481