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5034839040 = 210335711243
BaseRepresentation
bin1001011000001100…
…11000110000000000
3110222212221022202000
410230012120300000
540302404322130
62151334024000
7235524266010
oct45406306000
913885838660
105034839040
112154043100
12b861a8000
136231392ca
1435a96dc40
151e7039260
hex12c198c00

5034839040 has 1056 divisors, whose sum is σ = 22999764480. Its totient is φ = 1021870080.

The previous prime is 5034839027. The next prime is 5034839071. The reversal of 5034839040 is 409384305.

5034839040 is a `hidden beast` number, since 50 + 3 + 483 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a junction number, because it is equal to n+sod(n) for n = 5034838986 and 5034839004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117089259 + ... + 117089301.

It is an arithmetic number, because the mean of its divisors is an integer number (21780080).

Almost surely, 25034839040 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 5034839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499882240).

5034839040 is an abundant number, since it is smaller than the sum of its proper divisors (17964925440).

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

5034839040 is a wasteful number, since it uses less digits than its factorization.

5034839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5034839040 is about 70956.5996930518. The cubic root of 5034839040 is about 1713.9383524768.

The spelling of 5034839040 in words is "five billion, thirty-four million, eight hundred thirty-nine thousand, forty".