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427867965360 = 24355115093931
BaseRepresentation
bin1100011100111101110…
…10110000011110110000
31111220101212001200200000
412032132322300132300
524002233144342420
6524320531230000
742624652461303
oct6163672603660
91456355050600
10427867965360
11155504348230
126ab10148300
133146a0aa484
14169cd3c2b3a
15b1e327d690
hex639eeb07b0

427867965360 has 480 divisors, whose sum is σ = 1629218223360. Its totient is φ = 103495449600.

The previous prime is 427867965307. The next prime is 427867965407. The reversal of 427867965360 is 63569768724.

427867965360 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 6 + 7 + 96 + 536 + 0 = 666.

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, 108842595 + ... + 108846525.

It is an arithmetic number, because the mean of its divisors is an integer number (3394204632).

Almost surely, 2427867965360 is an apocalyptic number.

427867965360 is a gapful number since it is divisible by the number (40) 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 427867965360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814609111680).

427867965360 is an abundant number, since it is smaller than the sum of its proper divisors (1201350258000).

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

427867965360 is a wasteful number, since it uses less digits than its factorization.

427867965360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 427867965360 in words is "four hundred twenty-seven billion, eight hundred sixty-seven million, nine hundred sixty-five thousand, three hundred sixty".