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6134985360 = 243457211641
BaseRepresentation
bin1011011011010110…
…00111001010010000
3120211120001112210000
411231223013022100
5100031024012420
62452434010000
7305013341460
oct55553071220
916746045700
106134985360
112669048339
121232716900
1376a03b76a
14422b09ba0
1525d8ed690
hex16dac7290

6134985360 has 400 divisors, whose sum is σ = 24505252992. Its totient is φ = 1393459200.

The previous prime is 6134985359. The next prime is 6134985371. The reversal of 6134985360 is 635894316.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9570640 + ... + 9571280.

Almost surely, 26134985360 is an apocalyptic number.

6134985360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6134985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12252626496).

6134985360 is an abundant number, since it is smaller than the sum of its proper divisors (18370267632).

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

6134985360 is a wasteful number, since it uses less digits than its factorization.

6134985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6134985360 is about 78326.1473583375. The cubic root of 6134985360 is about 1830.6465868892.

The spelling of 6134985360 in words is "six billion, one hundred thirty-four million, nine hundred eighty-five thousand, three hundred sixty".