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50445400824 = 233272132196173
BaseRepresentation
bin101110111110110001…
…111011101011111000
311211012121220212200200
4232332301323223320
51311303010311244
635101352002200
73434040555300
oct567661735370
9154177825620
1050445400824
111a437128305
12993a090360
1349ac119200
142627952600
1514a3a25669
hexbbec7baf8

50445400824 has 864 divisors, whose sum is σ = 186643969200. Its totient is φ = 12227604480.

The previous prime is 50445400741. The next prime is 50445400829. The reversal of 50445400824 is 42800454405.

50445400824 is a `hidden beast` number, since 50 + 44 + 540 + 0 + 8 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50445400829) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 691032852 + ... + 691032924.

Almost surely, 250445400824 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 50445400824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93321984600).

50445400824 is an abundant number, since it is smaller than the sum of its proper divisors (136198568376).

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

50445400824 is a wasteful number, since it uses less digits than its factorization.

50445400824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 50445400824 in words is "fifty billion, four hundred forty-five million, four hundred thousand, eight hundred twenty-four".