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5098007040 = 293572192331
BaseRepresentation
bin1001011111101110…
…10110101000000000
3111011021210120221120
410233313112220000
540420042211130
62201511552240
7240222226200
oct45767265000
914137716846
105098007040
112186768165
12ba338b680
13633255219
143650d4400
151ec865910
hex12fdd6a00

5098007040 has 960 divisors, whose sum is σ = 21495767040. Its totient is φ = 1021870080.

The previous prime is 5098007003. The next prime is 5098007051. The reversal of 5098007040 is 407008905.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 5098006992 and 5098007010.

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, 164451825 + ... + 164451855.

It is an arithmetic number, because the mean of its divisors is an integer number (22391424).

Almost surely, 25098007040 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 5098007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747883520).

5098007040 is an abundant number, since it is smaller than the sum of its proper divisors (16397760000).

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

5098007040 is a wasteful number, since it uses less digits than its factorization.

5098007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5098007040 is about 71400.3294110048. The cubic root of 5098007040 is about 1721.0763769202.

The spelling of 5098007040 in words is "five billion, ninety-eight million, seven thousand, forty".