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5043461760 = 27345271359
BaseRepresentation
bin1001011001001110…
…10001111010000000
3111000111011101220000
410230213101322000
540312111234020
62152242520000
7235660501101
oct45447217200
914014141800
105043461760
1121589a2517
12b89066000
13624b67ccc
1435bb763a8
151e7b8e090
hex12c9d1e80

5043461760 has 320 divisors, whose sum is σ = 18127929600. Its totient is φ = 1336227840.

The previous prime is 5043461737. The next prime is 5043461779. The reversal of 5043461760 is 671643405.

It is a happy number.

5043461760 is a `hidden beast` number, since 5 + 0 + 4 + 34 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 14048461 + ... + 14048819.

It is an arithmetic number, because the mean of its divisors is an integer number (56649780).

Almost surely, 25043461760 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 5043461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9063964800).

5043461760 is an abundant number, since it is smaller than the sum of its proper divisors (13084467840).

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

5043461760 is a wasteful number, since it uses less digits than its factorization.

5043461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5043461760 is about 71017.3342220053. The cubic root of 5043461760 is about 1714.9162309238.

The spelling of 5043461760 in words is "five billion, forty-three million, four hundred sixty-one thousand, seven hundred sixty".