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16164214740153 = 3218135328109869
BaseRepresentation
bin1110101100111000011001…
…0001110001010010111001
32010020021122220202221021200
43223032012101301102321
54104313302433141103
654213423203524413
73255553211204034
oct353160621612271
963207586687250
1016164214740153
115172228903257
121990896989709
139033819c1bcc
143dc4d04c401b
151d07058aa0a3
hexeb3864714b9

16164214740153 has 24 divisors (see below), whose sum is σ = 23543815156680. Its totient is φ = 10686247418880.

The previous prime is 16164214740151. The next prime is 16164214740209. The reversal of 16164214740153 is 35104741246161.

16164214740153 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 4 + 21 + 474 + 0 + 153 = 666.

16164214740153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 155509556409 + 16008705183744 = 394347^2 + 4001088^2 .

It is not a de Polignac number, because 16164214740153 - 21 = 16164214740151 is a prime.

It is a super-2 number, since 2×161642147401532 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16164214740099 and 16164214740108.

It is not an unprimeable number, because it can be changed into a prime (16164214740151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13479898 + ... + 14629971.

It is an arithmetic number, because the mean of its divisors is an integer number (980992298195).

Almost surely, 216164214740153 is an apocalyptic number.

It is an amenable number.

16164214740153 is a deficient number, since it is larger than the sum of its proper divisors (7379600416527).

16164214740153 is a wasteful number, since it uses less digits than its factorization.

16164214740153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28110409 (or 28110406 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 16164214740153 in words is "sixteen trillion, one hundred sixty-four billion, two hundred fourteen million, seven hundred forty thousand, one hundred fifty-three".

Divisors: 1 3 9 181 353 543 1059 1629 3177 63893 191679 575037 28109869 84329607 252988821 5087886289 9922783757 15263658867 29768351271 45790976601 89305053813 1796023860017 5388071580051 16164214740153