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45836280000 = 26345474347
BaseRepresentation
bin101010101100000011…
…100010000011000000
311101022102001021120000
4222230003202003000
51222333041430000
633020142320000
73211602644250
oct525403420300
9141272037500
1045836280000
1118491426645
128a72589000
134426257594
14230b75d960
1512d4080000
hexaac0e20c0

45836280000 has 1400 divisors, whose sum is σ = 202779489792. Its totient is φ = 10015488000.

The previous prime is 45836279999. The next prime is 45836280013. The reversal of 45836280000 is 8263854.

It is a tau number, because it is divible by the number of its divisors (1400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 975239977 + ... + 975240023.

Almost surely, 245836280000 is an apocalyptic number.

45836280000 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 45836280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101389744896).

45836280000 is an abundant number, since it is smaller than the sum of its proper divisors (156943209792).

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

45836280000 is an equidigital number, since it uses as much as digits as its factorization.

45836280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45836280000 in words is "forty-five billion, eight hundred thirty-six million, two hundred eighty thousand".