Search a number
-
+
4874885568 = 263273741797
BaseRepresentation
bin1001000101001000…
…01101100111000000
3110120201221211211100
410202210031213000
534440432314233
62123421414400
7231542562240
oct44244154700
913521854740
104874885568
112081822753
12b4070a400
135c8c63a97
14343613b20
151d7e90813
hex12290d9c0

4874885568 has 336 divisors, whose sum is σ = 16821814464. Its totient is φ = 1320468480.

The previous prime is 4874885567. The next prime is 4874885579. The reversal of 4874885568 is 8655884784.

4874885568 is a `hidden beast` number, since 4 + 8 + 74 + 8 + 8 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its 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 not an unprimeable number, because it can be changed into a prime (4874885567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6116146 + ... + 6116942.

It is an arithmetic number, because the mean of its divisors is an integer number (50064924).

Almost surely, 24874885568 is an apocalyptic number.

4874885568 is a gapful number since it is divisible by the number (48) 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 4874885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410907232).

4874885568 is an abundant number, since it is smaller than the sum of its proper divisors (11946928896).

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

4874885568 is a wasteful number, since it uses less digits than its factorization.

4874885568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 887 counting only the distinct ones).

The product of its digits is 68812800, while the sum is 63.

The square root of 4874885568 is about 69820.3807494631. The cubic root of 4874885568 is about 1695.5924542885.

The spelling of 4874885568 in words is "four billion, eight hundred seventy-four million, eight hundred eighty-five thousand, five hundred sixty-eight".