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45109854360 = 23325125305151
BaseRepresentation
bin101010000000110000…
…011100000010011000
311022102210011000220200
4222000300130002120
51214341110314420
632420112422200
73154602302244
oct520060340230
9138383130820
1045109854360
111814937827a
1288ab247960
13433b8c511c
14227d0a7424
1512903dcb90
hexa80c1c098

45109854360 has 48 divisors (see below), whose sum is σ = 146607027840. Its totient is φ = 12029294400.

The previous prime is 45109854313. The next prime is 45109854367. The reversal of 45109854360 is 6345890154.

45109854360 is a `hidden beast` number, since 4 + 5 + 10 + 98 + 543 + 6 + 0 = 666.

It is a super-2 number, since 2×451098543602 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45109854367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62652216 + ... + 62652935.

It is an arithmetic number, because the mean of its divisors is an integer number (3054313080).

Almost surely, 245109854360 is an apocalyptic number.

45109854360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45109854360 is an abundant number, since it is smaller than the sum of its proper divisors (101497173480).

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

45109854360 is a wasteful number, since it uses less digits than its factorization.

45109854360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125305168 (or 125305161 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45109854360 in words is "forty-five billion, one hundred nine million, eight hundred fifty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 125305151 250610302 375915453 501220604 626525755 751830906 1002441208 1127746359 1253051510 1503661812 1879577265 2255492718 2506103020 3007323624 3759154530 4510985436 5012206040 5638731795 7518309060 9021970872 11277463590 15036618120 22554927180 45109854360