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45119155200 = 2103527234189
BaseRepresentation
bin101010000001010011…
…111010110000000000
311022110102122120021020
4222001103322300000
51214401000431300
632421044025440
73155044330350
oct520123726000
9138412576236
1045119155200
1118153650119
1288b2392280
134340800692
142280408b60
1512911288a0
hexa814fac00

45119155200 has 1056 divisors, whose sum is σ = 184218209280. Its totient is φ = 9515827200.

The previous prime is 45119155117. The next prime is 45119155217. The reversal of 45119155200 is 255191154.

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 95 ways as a sum of consecutive naturals, for example, 506956756 + ... + 506956844.

Almost surely, 245119155200 is an apocalyptic number.

45119155200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45119155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92109104640).

45119155200 is an abundant number, since it is smaller than the sum of its proper divisors (139099054080).

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

45119155200 is a wasteful number, since it uses less digits than its factorization.

45119155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The spelling of 45119155200 in words is "forty-five billion, one hundred nineteen million, one hundred fifty-five thousand, two hundred".