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16872053761 = 375320994099
BaseRepresentation
bin11111011011010011…
…10001110000000001
31121112211202010200001
433231221301300001
5234023221210021
611430110400001
71135051043053
oct175551616001
947484663601
1016872053761
11717891a792
12332a500001
13178b646684
14b60ad58d3
1568b352091
hex3eda71c01

16872053761 has 16 divisors (see below), whose sum is σ = 17667720000. Its totient is φ = 16094714688.

The previous prime is 16872053729. The next prime is 16872053777. The reversal of 16872053761 is 16735027861.

16872053761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 16872053761 - 25 = 16872053729 is a prime.

It is a super-2 number, since 2×168720537612 (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 (16872053711) 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 15 ways as a sum of consecutive naturals, for example, 4114090 + ... + 4118188.

It is an arithmetic number, because the mean of its divisors is an integer number (1104232500).

Almost surely, 216872053761 is an apocalyptic number.

It is an amenable number.

16872053761 is a deficient number, since it is larger than the sum of its proper divisors (795666239).

16872053761 is a wasteful number, since it uses less digits than its factorization.

16872053761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 16872053761 in words is "sixteen billion, eight hundred seventy-two million, fifty-three thousand, seven hundred sixty-one".

Divisors: 1 37 53 1961 2099 4099 77663 111247 151663 217247 4116139 8038139 8603801 318340637 456001453 16872053761