Search a number
-
+
45768246399 = 36123151001
BaseRepresentation
bin101010101000000000…
…000000010001111111
311101010200000211000000
4222220000000101333
51222213132341044
633005312205343
73210115450461
oct525000002177
9141120024000
1045768246399
1118456a88a27
128a53839853
134415126b05
1423026d0131
1512cd0e1d69
hexaa800047f

45768246399 has 28 divisors (see below), whose sum is σ = 68678069152. Its totient is φ = 30486780000.

The previous prime is 45768246383. The next prime is 45768246409. The reversal of 45768246399 is 99364286754.

45768246399 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 82 + 463 + 99 = 666.

It is not a de Polignac number, because 45768246399 - 24 = 45768246383 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 (45768246499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 871899 + ... + 922899.

It is an arithmetic number, because the mean of its divisors is an integer number (2452788184).

Almost surely, 245768246399 is an apocalyptic number.

45768246399 is a deficient number, since it is larger than the sum of its proper divisors (22909822753).

45768246399 is an equidigital number, since it uses as much as digits as its factorization.

45768246399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52250 (or 52235 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 45768246399 in words is "forty-five billion, seven hundred sixty-eight million, two hundred forty-six thousand, three hundred ninety-nine".

Divisors: 1 3 9 27 81 243 729 1231 3693 11079 33237 51001 99711 153003 299133 459009 897399 1377027 4131081 12393243 37179729 62782231 188346693 565040079 1695120237 5085360711 15256082133 45768246399