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52441814880 = 253357213171959
BaseRepresentation
bin110000110101110001…
…101001011101100000
312000100202112012221000
4300311301221131200
51324400101034010
640031430032000
73534362033400
oct606561513540
9160322465830
1052441814880
1120271045784
12a1b67a8600
134c399092c0
142776b56800
15156de2a7c0
hexc35c69760

52441814880 has 2304 divisors, whose sum is σ = 260620416000. Its totient is φ = 9698476032.

The previous prime is 52441814819. The next prime is 52441814903. The reversal of 52441814880 is 8841814425.

52441814880 is a `hidden beast` number, since 52 + 4 + 41 + 81 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 888844291 + ... + 888844349.

It is an arithmetic number, because the mean of its divisors is an integer number (113116500).

Almost surely, 252441814880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52441814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208000).

52441814880 is an abundant number, since it is smaller than the sum of its proper divisors (208178601120).

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

52441814880 is a wasteful number, since it uses less digits than its factorization.

52441814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 52441814880 in words is "fifty-two billion, four hundred forty-one million, eight hundred fourteen thousand, eight hundred eighty".