Search a number
-
+
45315484155 = 33517375310069
BaseRepresentation
bin101010001101000000…
…110110100111111011
311022222010002002222000
4222031000312213323
51220301230443110
632452340032043
73162650155104
oct521500664773
9138863062860
1045315484155
1118244455a57
128948092623
1343723a0a66
14229c5133ab
1512a34aa1c0
hexa8d0369fb

45315484155 has 128 divisors (see below), whose sum is σ = 89266924800. Its totient is φ = 21712084992.

The previous prime is 45315484099. The next prime is 45315484157. The reversal of 45315484155 is 55148451354.

45315484155 is a `hidden beast` number, since 4 + 5 + 3 + 15 + 484 + 155 = 666.

It is not a de Polignac number, because 45315484155 - 212 = 45315480059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 45315484155.

It is not an unprimeable number, because it can be changed into a prime (45315484157) 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 127 ways as a sum of consecutive naturals, for example, 4495461 + ... + 4505529.

It is an arithmetic number, because the mean of its divisors is an integer number (697397850).

Almost surely, 245315484155 is an apocalyptic number.

45315484155 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45315484155 is a deficient number, since it is larger than the sum of its proper divisors (43951440645).

45315484155 is a wasteful number, since it uses less digits than its factorization.

45315484155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 10184 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The spelling of 45315484155 in words is "forty-five billion, three hundred fifteen million, four hundred eighty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 37 45 51 53 85 111 135 153 159 185 255 265 333 459 477 555 629 765 795 901 999 1431 1665 1887 1961 2295 2385 2703 3145 4505 4995 5661 5883 7155 8109 9435 9805 10069 13515 16983 17649 24327 28305 29415 30207 33337 40545 50345 52947 84915 88245 90621 100011 121635 151035 166685 171173 264735 271863 300033 372553 453105 500055 513519 533657 855865 900099 1117659 1359315 1500165 1540557 1600971 1862765 2567595 2668285 3352977 4500495 4621671 4802913 5588295 6333401 7702785 8004855 9072169 10058931 14408739 16764885 19000203 19745309 23108355 24014565 27216507 31667005 45360845 50294655 57000609 59235927 72043695 81649521 95001015 98726545 136082535 171001827 177707781 244948563 285003045 296179635 335670253 408247605 533123343 855009135 888538905 1007010759 1224742815 1678351265 2665616715 3021032277 5035053795 9063096831 15105161385 45315484155