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5458463640 = 2334571953239
BaseRepresentation
bin1010001010101100…
…11000101110011000
3112002102001200110000
411011112120232120
542134331314030
62301345453000
7252160114110
oct50526305630
915072050400
105458463640
112351184583
121084041160
1368cb2ca56
1439ad24040
1521e317860
hex145598b98

5458463640 has 640 divisors, whose sum is σ = 22581504000. Its totient is φ = 1154829312.

The previous prime is 5458463639. The next prime is 5458463677. The reversal of 5458463640 is 463648545.

5458463640 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 4 + 636 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22838641 + ... + 22838879.

It is an arithmetic number, because the mean of its divisors is an integer number (35283600).

Almost surely, 25458463640 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 5458463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11290752000).

5458463640 is an abundant number, since it is smaller than the sum of its proper divisors (17123040360).

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

5458463640 is a wasteful number, since it uses less digits than its factorization.

5458463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 5458463640 is about 73881.4160665590. The cubic root of 5458463640 is about 1760.7193641645.

The spelling of 5458463640 in words is "five billion, four hundred fifty-eight million, four hundred sixty-three thousand, six hundred forty".