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4628652045696 = 2734779807299
BaseRepresentation
bin100001101011011000100…
…1010010011010110000000
3121101111100201102111010000
41003112301022103112000
51101313434410430241
613502212353040000
7655260212142060
oct103266112232600
917344321374100
104628652045696
111525000458178
12629092256000
13277631792b23
141200569c73a0
158060643ceb6
hex435b1293580

4628652045696 has 320 divisors, whose sum is σ = 15941914560000. Its totient is φ = 1305730243584.

The previous prime is 4628652045673. The next prime is 4628652045707. The reversal of 4628652045696 is 6965402568264.

It is a happy number.

4628652045696 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 6 + 520 + 45 + 69 + 6 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5329855 + ... + 6137153.

It is an arithmetic number, because the mean of its divisors is an integer number (49818483000).

Almost surely, 24628652045696 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 4628652045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970957280000).

4628652045696 is an abundant number, since it is smaller than the sum of its proper divisors (11313262514304).

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

4628652045696 is an equidigital number, since it uses as much as digits as its factorization.

4628652045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807411 (or 807390 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 4628652045696 in words is "four trillion, six hundred twenty-eight billion, six hundred fifty-two million, forty-five thousand, six hundred ninety-six".