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45123133132154 = 2711537028978653
BaseRepresentation
bin10100100001010000011000…
…10100100100110101111010
312220202201200201202100112202
422100220030110210311322
521403244134040212104
6235545140423110202
712335016206131310
oct1220501424446572
9186681621670482
1045123133132154
1113417682328270
1250891b9ba2362
131c241299a192c
14b1dd853480b0
15533b524d451e
hex290a0c524d7a

45123133132154 has 64 divisors (see below), whose sum is σ = 85980626392320. Its totient is φ = 17248270341120.

The previous prime is 45123133132151. The next prime is 45123133132183.

It is a happy number.

45123133132154 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (45123133132151) 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 31 ways as a sum of consecutive naturals, for example, 573659492 + ... + 573738144.

It is an arithmetic number, because the mean of its divisors is an integer number (1343447287380).

Almost surely, 245123133132154 is an apocalyptic number.

45123133132154 is a deficient number, since it is larger than the sum of its proper divisors (40857493260166).

45123133132154 is a wasteful number, since it uses less digits than its factorization.

45123133132154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149015.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 4512313 and 3132154, that added together give a palindrome (7644467).

The spelling of 45123133132154 in words is "forty-five trillion, one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred fifty-four".

Divisors: 1 2 7 11 14 22 53 77 106 154 371 583 742 1166 4081 8162 70289 78653 140578 157306 492023 550571 773179 865183 984046 1101142 1546358 1730366 3725317 4168609 5412253 6056281 7450634 8337218 10824506 12112562 26077219 29180263 40978487 45854699 52154438 58360526 81956974 91709398 286849409 320982893 573698818 641965786 5528440717 11056881434 38699085019 60812847887 77398170038 121625695774 293007358001 425689935209 586014716002 851379870418 2051051506007 3223080938011 4102103012014 6446161876022 22561566566077 45123133132154