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45066619520 = 27513233171107
BaseRepresentation
bin101001111110001011…
…100000101010000000
311022022202210110212022
4221332023200222000
51214244023311040
632411530021012
73153535642166
oct517613405200
9138282713768
1045066619520
1118126a282aa
128898877768
134332968090
142277451236
15128b6ec6b5
hexa7e2e0a80

45066619520 has 512 divisors, whose sum is σ = 127919554560. Its totient is φ = 15044198400.

The previous prime is 45066619513. The next prime is 45066619537. The reversal of 45066619520 is 2591666054.

It is a Cunningham number, because it is equal to 2122892-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421183307 + ... + 421183413.

It is an arithmetic number, because the mean of its divisors is an integer number (249842880).

Almost surely, 245066619520 is an apocalyptic number.

45066619520 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 45066619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63959777280).

45066619520 is an abundant number, since it is smaller than the sum of its proper divisors (82852935040).

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

45066619520 is a wasteful number, since it uses less digits than its factorization.

45066619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 45066619520 in words is "forty-five billion, sixty-six million, six hundred nineteen thousand, five hundred twenty".