Search a number
-
+
154622416006641 = 31153165449534341
BaseRepresentation
bin100011001010000011010110…
…001011100010110111110001
3202021110202111000200200011010
4203022003112023202313301
5130231313201444203031
61304504320213141133
744366046416422542
oct4312032613426761
9667422430620133
10154622416006641
11452a3aa8923a50
1215412a3a32a7a9
136837aa639acab
142a27a9cb104c9
1512d213d15c246
hex8ca0d62e2df1

154622416006641 has 32 divisors (see below), whose sum is σ = 229150643068800. Its totient is φ = 91941703692800.

The previous prime is 154622416006631. The next prime is 154622416006649. The reversal of 154622416006641 is 146600614226451.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-154622416006641 is a prime.

It is a super-2 number, since 2×1546224160066412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (154622416006649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289103131 + ... + 289637471.

It is an arithmetic number, because the mean of its divisors is an integer number (7160957595900).

Almost surely, 2154622416006641 is an apocalyptic number.

154622416006641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

154622416006641 is a deficient number, since it is larger than the sum of its proper divisors (74528227062159).

154622416006641 is a wasteful number, since it uses less digits than its factorization.

154622416006641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699857.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 154622416006641 in words is "one hundred fifty-four trillion, six hundred twenty-two billion, four hundred sixteen million, six thousand, six hundred forty-one".

Divisors: 1 3 11 33 53 159 583 1749 165449 496347 534341 1603023 1819939 5459817 5877751 8768797 17633253 26306391 28320073 84960219 96456767 289370301 311520803 934562409 88406184109 265218552327 972468025199 2917404075597 4685527757777 14056583273331 51540805335547 154622416006641