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45372285000 = 23335472193
BaseRepresentation
bin101010010000011001…
…100010000001001000
311100010001221220002000
4222100121202001020
51220410301110000
632502125311000
73164240026200
oct522031420110
9140101856060
1045372285000
11182735212a9
128963105460
13438109a823
1422a5c9b400
1512a847a000
hexa90662048

45372285000 has 960 divisors, whose sum is σ = 193381848000. Its totient is φ = 9824976000.

The previous prime is 45372284983. The next prime is 45372285041. The reversal of 45372285000 is 58227354.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

45372285000 is a `hidden beast` number, since 4 + 5 + 372 + 285 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×453722850002 (a number of 22 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2388014991 + ... + 2388015009.

It is an arithmetic number, because the mean of its divisors is an integer number (201439425).

Almost surely, 245372285000 is an apocalyptic number.

45372285000 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 45372285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96690924000).

45372285000 is an abundant number, since it is smaller than the sum of its proper divisors (148009563000).

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

45372285000 is an equidigital number, since it uses as much as digits as its factorization.

45372285000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45372285000 in words is "forty-five billion, three hundred seventy-two million, two hundred eighty-five thousand".