Search a number
-
+
155007765301 = 5331346120269
BaseRepresentation
bin1001000001011100101…
…1101100101100110101
3112211002202110100102111
42100113023230230311
510014423441442201
6155113134211021
714125144160044
oct2202713545465
9484082410374
10155007765301
115a81392a364
122605b953a71
1311803bc96ac
1477068b455b
15407356bb51
hex24172ecb35

155007765301 has 16 divisors (see below), whose sum is σ = 158788531440. Its totient is φ = 151260894720.

The previous prime is 155007765287. The next prime is 155007765343. The reversal of 155007765301 is 103567700551.

155007765301 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 8 ways, for example, as 5289071076 + 149718694225 = 72726^2 + 386935^2 .

It is a cyclic number.

It is not a de Polignac number, because 155007765301 - 219 = 155007241013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155007760301) 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 15 ways as a sum of consecutive naturals, for example, 7637395 + ... + 7657663.

It is an arithmetic number, because the mean of its divisors is an integer number (9924283215).

Almost surely, 2155007765301 is an apocalyptic number.

It is an amenable number.

155007765301 is a deficient number, since it is larger than the sum of its proper divisors (3780766139).

155007765301 is a wasteful number, since it uses less digits than its factorization.

155007765301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21096.

The product of its (nonzero) digits is 110250, while the sum is 40.

The spelling of 155007765301 in words is "one hundred fifty-five billion, seven million, seven hundred sixty-five thousand, three hundred one".

Divisors: 1 53 313 461 16589 20269 24433 144293 1074257 6344197 7647529 9344009 336242441 495232477 2924674817 155007765301