Search a number
-
+
54336464770101 = 3295373255763131
BaseRepresentation
bin11000101101011001100011…
…01011100101010000110101
321010101111220122200020120220
430112230301223211100311
524110222034440120401
6311321454411044553
714305452151660653
oct1426546153452065
9233344818606526
1054336464770101
1116349a688a5498
126116930140759
132441ba2b79947
14d5bc82927dd3
15643639745336
hex316b31ae5435

54336464770101 has 64 divisors (see below), whose sum is σ = 77438478885120. Its totient is φ = 33831441745920.

The previous prime is 54336464770087. The next prime is 54336464770169. The reversal of 54336464770101 is 10107746463345.

It is a happy number.

54336464770101 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 54336464770101 - 210 = 54336464769077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54336464770901) 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 63 ways as a sum of consecutive naturals, for example, 860662306 + ... + 860725436.

It is an arithmetic number, because the mean of its divisors is an integer number (1209976232580).

Almost surely, 254336464770101 is an apocalyptic number.

It is an amenable number.

54336464770101 is a deficient number, since it is larger than the sum of its proper divisors (23102014115019).

54336464770101 is a wasteful number, since it uses less digits than its factorization.

54336464770101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65846.

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 54336464770101 in words is "fifty-four trillion, three hundred thirty-six billion, four hundred sixty-four million, seven hundred seventy thousand, one hundred one".

Divisors: 1 3 29 53 73 87 159 219 1537 2117 2557 3869 4611 6351 7671 11607 63131 74153 112201 135521 186661 189393 222459 336603 406563 559983 1830799 3345943 3930109 4608563 5413169 5492397 9893033 10037829 11790327 13825689 16239507 29679099 97032347 133648327 161425967 244253839 286897957 291097041 400944981 484277901 732761517 860693871 4681353043 7083361331 8555576251 11784095591 14044059129 21250083993 25666728753 35352286773 248111711279 341738772139 624557066323 744335133837 1025216316417 1873671198969 18112154923367 54336464770101