Search a number
-
+
155656656500 = 22532377130969
BaseRepresentation
bin1001000011110111011…
…1000001011001110100
3112212202222110102210212
42100331313001121310
510022241101002000
6155301354204552
714150213515112
oct2207567013164
9485688412725
10155656656500
1160017140984
1226201123758
13118a8482a97
147768b46ab2
1540b04e5c35
hex243ddc1674

155656656500 has 48 divisors (see below), whose sum is σ = 340099752720. Its totient is φ = 62235993600.

The previous prime is 155656656499. The next prime is 155656656509. The reversal of 155656656500 is 5656656551.

155656656500 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 20131069456 + 135525587044 = 141884^2 + 368138^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155656656509) 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, 1123016 + ... + 1253984.

It is an arithmetic number, because the mean of its divisors is an integer number (7085411515).

Almost surely, 2155656656500 is an apocalyptic number.

155656656500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155656656500 is an abundant number, since it is smaller than the sum of its proper divisors (184443096220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155656656500 is a wasteful number, since it uses less digits than its factorization.

155656656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133365 (or 133353 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 50.

The spelling of 155656656500 in words is "one hundred fifty-five billion, six hundred fifty-six million, six hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 2377 4754 9508 11885 23770 47540 59425 118850 130969 237700 261938 297125 523876 594250 654845 1188500 1309690 2619380 3274225 6548450 13096900 16371125 32742250 65484500 311313313 622626626 1245253252 1556566565 3113133130 6226266260 7782832825 15565665650 31131331300 38914164125 77828328250 155656656500