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45012110484 = 223113111000027
BaseRepresentation
bin101001111010111011…
…100100110010010100
311022011222020010112010
4221322323210302110
51214141100013414
632402301424220
73152304424545
oct517273446224
9138158203463
1045012110484
11180a9187910
12888256b070
134324591503
1422701024cc
151286a31959
hexa7aee4c94

45012110484 has 48 divisors (see below), whose sum is σ = 118272301056. Its totient is φ = 13200031200.

The previous prime is 45012110483. The next prime is 45012110491. The reversal of 45012110484 is 48401121054.

45012110484 is a modest number, since divided by 110484 gives 45012 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45012110483) 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, 5495922 + ... + 5504105.

It is an arithmetic number, because the mean of its divisors is an integer number (2464006272).

Almost surely, 245012110484 is an apocalyptic number.

45012110484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45012110484 is an abundant number, since it is smaller than the sum of its proper divisors (73260190572).

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

45012110484 is a wasteful number, since it uses less digits than its factorization.

45012110484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000076 (or 11000074 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 45012110484 in words is "forty-five billion, twelve million, one hundred ten thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 11000027 22000054 33000081 44000108 66000162 121000297 132000324 242000594 341000837 363000891 484001188 682001674 726001782 1023002511 1364003348 1452003564 2046005022 3751009207 4092010044 7502018414 11253027621 15004036828 22506055242 45012110484