Search a number
-
+
45110201154 = 231031511573079
BaseRepresentation
bin101010000000110001…
…110000101101000010
311022102210210122121220
4222000301300231002
51214341202414104
632420124055510
73154605245304
oct520061605502
9138383718556
1045110201154
1118149594887
1288ab394596
13433b9b6c25
14227d157974
15129045a7d9
hexa80c70b42

45110201154 has 64 divisors (see below), whose sum is σ = 92313661440. Its totient is φ = 14693140800.

The previous prime is 45110201141. The next prime is 45110201173.

45110201154 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14649387 + ... + 14652465.

It is an arithmetic number, because the mean of its divisors is an integer number (1442400960).

Almost surely, 245110201154 is an apocalyptic number.

45110201154 is an abundant number, since it is smaller than the sum of its proper divisors (47203460286).

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

45110201154 is a wasteful number, since it uses less digits than its factorization.

45110201154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495.

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 45110201154 in words is "forty-five billion, one hundred ten million, two hundred one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 103 151 157 206 302 309 314 453 471 618 906 942 3079 6158 9237 15553 16171 18474 23707 31106 32342 46659 47414 48513 71121 93318 97026 142242 317137 464929 483403 634274 929858 951411 966806 1394787 1450209 1902822 2441821 2789574 2900418 4883642 7325463 14650926 47887687 49790509 72993853 95775374 99581018 143663061 145987706 149371527 218981559 287326122 298743054 437963118 7518366859 15036733718 22555100577 45110201154