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4874978160 = 24325133153317
BaseRepresentation
bin1001000101001001…
…00100001101110000
3110120202010112211200
410202210210031300
534440443300120
62123423411200
7231543426213
oct44244441560
913522115750
104874978160
112081886278
12b40753b00
135c8c96c80
1434363977a
151d7eace90
hex122924370

4874978160 has 480 divisors, whose sum is σ = 18601809408. Its totient is φ = 1135779840.

The previous prime is 4874978159. The next prime is 4874978167. The reversal of 4874978160 is 618794784.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4874978097 and 4874978106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4874978167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15378322 + ... + 15378638.

Almost surely, 24874978160 is an apocalyptic number.

4874978160 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 4874978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300904704).

4874978160 is an abundant number, since it is smaller than the sum of its proper divisors (13726831248).

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

4874978160 is a wasteful number, since it uses less digits than its factorization.

4874978160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4874978160 is about 69821.0438191810. The cubic root of 4874978160 is about 1695.6031893988.

The spelling of 4874978160 in words is "four billion, eight hundred seventy-four million, nine hundred seventy-eight thousand, one hundred sixty".