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154208061381 = 31173475913451
BaseRepresentation
bin1000111110011110000…
…1000100011111000101
3112202001000200011212210
42033213201010133011
510011304230431011
6154501525534033
714066263615533
oct2174741043705
9482030604783
10154208061381
115a443480a30
1225a77b74319
131170731b4ca
14766c5c5153
1540282526a6
hex23e78447c5

154208061381 has 32 divisors (see below), whose sum is σ = 227439959040. Its totient is φ = 92152944000.

The previous prime is 154208061367. The next prime is 154208061451. The reversal of 154208061381 is 183160802451.

154208061381 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 154208061381 - 25 = 154208061349 is a prime.

It is a super-2 number, since 2×1542080613812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154208061311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11457706 + ... + 11471156.

It is an arithmetic number, because the mean of its divisors is an integer number (7107498720).

Almost surely, 2154208061381 is an apocalyptic number.

154208061381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

154208061381 is a deficient number, since it is larger than the sum of its proper divisors (73231897659).

154208061381 is a wasteful number, since it uses less digits than its factorization.

154208061381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18297.

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 154208061381 in words is "one hundred fifty-four billion, two hundred eight million, sixty-one thousand, three hundred eighty-one".

Divisors: 1 3 11 33 73 219 803 2409 4759 13451 14277 40353 52349 147961 157047 347407 443883 981923 1042221 2945769 3821477 10801153 11464431 32403459 64013309 192039927 704146399 2112439197 4672971557 14018914671 51402687127 154208061381