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4969486080 = 28355131229
BaseRepresentation
bin1001010000011010…
…00101011100000000
3110211022222001100000
410220031011130000
540134142023310
62141041200000
7234101635416
oct45015053400
913738861300
104969486080
112120166499
12b68330000
13612736a10
14351ddb2b6
151e142a4c0
hex128345700

4969486080 has 432 divisors, whose sum is σ = 19217933280. Its totient is φ = 1222262784.

The previous prime is 4969486079. The next prime is 4969486097. The reversal of 4969486080 is 806849694.

4969486080 is a `hidden beast` number, since 496 + 94 + 8 + 60 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4042906 + ... + 4044134.

Almost surely, 24969486080 is an apocalyptic number.

4969486080 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 4969486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608966640).

4969486080 is an abundant number, since it is smaller than the sum of its proper divisors (14248447200).

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

4969486080 is a wasteful number, since it uses less digits than its factorization.

4969486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4969486080 is about 70494.5819194639. The cubic root of 4969486080 is about 1706.4903083826.

The spelling of 4969486080 in words is "four billion, nine hundred sixty-nine million, four hundred eighty-six thousand, eighty".