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2045255005200 = 24352111453106637
BaseRepresentation
bin11101110000110010101…
…100101011010000010000
321020112011100010022101210
4131300302230223100100
5232002140240131300
64203324400500120
7300523216462521
oct35606254532020
97215140108353
102045255005200
1171942a149030
1229047391a640
1311ab3624b164
1470dc2d3c848
1538305edd050
hex1dc32b2b410

2045255005200 has 240 divisors, whose sum is σ = 7152222603456. Its totient is φ = 495473510400.

The previous prime is 2045255005193. The next prime is 2045255005217. The reversal of 2045255005200 is 25005525402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19126282 + ... + 19232918.

Almost surely, 22045255005200 is an apocalyptic number.

2045255005200 is a gapful number since it is divisible by the number (20) 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 2045255005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576111301728).

2045255005200 is an abundant number, since it is smaller than the sum of its proper divisors (5106967598256).

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

2045255005200 is a wasteful number, since it uses less digits than its factorization.

2045255005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108122 (or 108111 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The spelling of 2045255005200 in words is "two trillion, forty-five billion, two hundred fifty-five million, five thousand, two hundred".