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4978221768 = 2334131921637
BaseRepresentation
bin1001010001011100…
…11010001011001000
3110211221101212110000
410220232122023020
540143411044033
62141552323000
7234236121042
oct45056321310
913757355400
104978221768
112125092773
12b6b243460
136144a4c70
14353232a92
151e20a3a13
hex128b9a2c8

4978221768 has 240 divisors, whose sum is σ = 15857821980. Its totient is φ = 1450255104.

The previous prime is 4978221727. The next prime is 4978221791. The reversal of 4978221768 is 8671228794.

It is a happy number.

4978221768 is a `hidden beast` number, since 497 + 82 + 2 + 1 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3831857604 + 1146364164 = 61902^2 + 33858^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3040246 + ... + 3041882.

Almost surely, 24978221768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978221768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928910990).

4978221768 is an abundant number, since it is smaller than the sum of its proper divisors (10879600212).

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

4978221768 is a wasteful number, since it uses less digits than its factorization.

4978221768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1674 counting only the distinct ones).

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

The square root of 4978221768 is about 70556.5147098409. The cubic root of 4978221768 is about 1707.4896498397.

The spelling of 4978221768 in words is "four billion, nine hundred seventy-eight million, two hundred twenty-one thousand, seven hundred sixty-eight".