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5034856320 = 273451331241
BaseRepresentation
bin1001011000001100…
…11100111110000000
3110222212222012110000
410230012130332000
540302410400240
62151334240000
7235524400254
oct45406347600
913885865400
105034856320
11215405508a
12b861b6000
13623144130
1435a976264
151e703e430
hex12c19cf80

5034856320 has 640 divisors, whose sum is σ = 20071054080. Its totient is φ = 1194393600.

The previous prime is 5034856301. The next prime is 5034856327. The reversal of 5034856320 is 236584305.

It is a happy number.

5034856320 is a `hidden beast` number, since 50 + 3 + 48 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (5034856327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20891400 + ... + 20891640.

It is an arithmetic number, because the mean of its divisors is an integer number (31361022).

Almost surely, 25034856320 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 5034856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10035527040).

5034856320 is an abundant number, since it is smaller than the sum of its proper divisors (15036197760).

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

5034856320 is a wasteful number, since it uses less digits than its factorization.

5034856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5034856320 is about 70956.7214575194. The cubic root of 5034856320 is about 1713.9403132691.

The spelling of 5034856320 in words is "five billion, thirty-four million, eight hundred fifty-six thousand, three hundred twenty".