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4946086080 = 26325131719409
BaseRepresentation
bin1001001101100111…
…10100100011000000
3110202200221012120100
410212303310203000
540112144223310
62134443442400
7233366016015
oct44663644300
913680835510
104946086080
112108a33751
12b60526400
1360a932b70
1434cc6970c
151de356ec0
hex126cf48c0

4946086080 has 672 divisors, whose sum is σ = 20469758400. Its totient is φ = 1082916864.

The previous prime is 4946086073. The next prime is 4946086151. The reversal of 4946086080 is 806806494.

It is a happy number.

4946086080 is a `hidden beast` number, since 494 + 6 + 0 + 86 + 0 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 12092916 + ... + 12093324.

It is an arithmetic number, because the mean of its divisors is an integer number (30460950).

Almost surely, 24946086080 is an apocalyptic number.

4946086080 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 4946086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234879200).

4946086080 is an abundant number, since it is smaller than the sum of its proper divisors (15523672320).

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

4946086080 is a wasteful number, since it uses less digits than its factorization.

4946086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4946086080 is about 70328.4158786475. The cubic root of 4946086080 is about 1703.8076222678.

The spelling of 4946086080 in words is "four billion, nine hundred forty-six million, eighty-six thousand, eighty".