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49454145000 = 2335541331101
BaseRepresentation
bin101110000011101100…
…100101110111101000
311201122112200212100000
4232003230211313220
51302240230120000
634415141543000
73400343203521
oct560354456750
9151575625300
1049454145000
1119a78637117
129702114a60
1348819510c0
14257203d848
1514469c0000
hexb83b25de8

49454145000 has 960 divisors, whose sum is σ = 194859624960. Its totient is φ = 11664000000.

The previous prime is 49454144977. The next prime is 49454145011. The reversal of 49454145000 is 54145494.

49454145000 is a `hidden beast` number, since 4 + 94 + 54 + 14 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 239 ways as a sum of consecutive naturals, for example, 489644950 + ... + 489645050.

It is an arithmetic number, because the mean of its divisors is an integer number (202978776).

Almost surely, 249454145000 is an apocalyptic number.

49454145000 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 49454145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97429812480).

49454145000 is an abundant number, since it is smaller than the sum of its proper divisors (145405479960).

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

49454145000 is a wasteful number, since it uses less digits than its factorization.

49454145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 49454145000 in words is "forty-nine billion, four hundred fifty-four million, one hundred forty-five thousand".