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4941634680 = 23325591971181
BaseRepresentation
bin1001001101000101…
…10101110001111000
3110202101120001101200
410212202311301320
540110024302210
62134204214200
7233313126123
oct44642656170
913671501350
104941634680
112106473304
12b5ab3a360
13609a349b8
1434c42b3ba
151ddc780c0
hex1268b5c78

4941634680 has 192 divisors, whose sum is σ = 16429327200. Its totient is φ = 1287767040.

The previous prime is 4941634673. The next prime is 4941634697. The reversal of 4941634680 is 864361494.

4941634680 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 634 + 6 + 8 + 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 47 ways as a sum of consecutive naturals, for example, 4183690 + ... + 4184870.

Almost surely, 24941634680 is an apocalyptic number.

4941634680 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 4941634680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214663600).

4941634680 is an abundant number, since it is smaller than the sum of its proper divisors (11487692520).

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

4941634680 is a wasteful number, since it uses less digits than its factorization.

4941634680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4941634680 is about 70296.7615185792. The cubic root of 4941634680 is about 1703.2963354628.

The spelling of 4941634680 in words is "four billion, nine hundred forty-one million, six hundred thirty-four thousand, six hundred eighty".