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45019001000 = 235345019001
BaseRepresentation
bin101001111011010101…
…110111000010101000
311022012110012012112102
4221323111313002220
51214144331013000
632403105232532
73152420123531
oct517325670250
9138173165472
1045019001000
1118102063856
128884932748
134325b3493c
142270db7688
1512874433d5
hexa7b5770a8

45019001000 has 32 divisors (see below), whose sum is σ = 105344464680. Its totient is φ = 18007600000.

The previous prime is 45019000981. The next prime is 45019001017. The reversal of 45019001000 is 10091054.

It can be written as a sum of positive squares in 4 ways, for example, as 28259627236 + 16759373764 = 168106^2 + 129458^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22508501 + ... + 22510500.

Almost surely, 245019001000 is an apocalyptic number.

45019001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45019001000 is an abundant number, since it is smaller than the sum of its proper divisors (60325463680).

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

45019001000 is a wasteful number, since it uses less digits than its factorization.

45019001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45019022 (or 45019008 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 45019001000 its reverse (10091054), we get a palindrome (45029092054).

The spelling of 45019001000 in words is "forty-five billion, nineteen million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 45019001 90038002 180076004 225095005 360152008 450190010 900380020 1125475025 1800760040 2250950050 4501900100 5627375125 9003800200 11254750250 22509500500 45019001000