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4923931680 = 253451722349
BaseRepresentation
bin1001001010111110…
…10011110000100000
3110201011020122110000
410211133103300200
540041011303210
62132332540000
7233006504643
oct44537236040
913634218400
104923931680
1120a7481828
12b55021600
13606176c55
14349d3da5a
151dc42cac0
hex1257d3c20

4923931680 has 240 divisors, whose sum is σ = 18400397400. Its totient is φ = 1235755008.

The previous prime is 4923931667. The next prime is 4923931703. The reversal of 4923931680 is 861393294.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3776348304 + 1147583376 = 61452^2 + 33876^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 209146 + ... + 231494.

Almost surely, 24923931680 is an apocalyptic number.

4923931680 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 4923931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200198700).

4923931680 is an abundant number, since it is smaller than the sum of its proper divisors (13476465720).

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

4923931680 is a wasteful number, since it uses less digits than its factorization.

4923931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22393 (or 22376 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4923931680 is about 70170.7323604364. The cubic root of 4923931680 is about 1701.2599287377.

The spelling of 4923931680 in words is "four billion, nine hundred twenty-three million, nine hundred thirty-one thousand, six hundred eighty".