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4147066980 = 22325722320443
BaseRepresentation
bin1111011100101111…
…0011100001100100
3101201000102211102100
43313023303201210
531443122120410
61523302012100
7204524326200
oct36713634144
911630384370
104147066980
111838a02891
12978a17030
135112345b4
142b4ab7b00
151941258c0
hexf72f3864

4147066980 has 216 divisors, whose sum is σ = 15270196032. Its totient is φ = 906643584.

The previous prime is 4147066919. The next prime is 4147066981. The reversal of 4147066980 is 896607414.

4147066980 is a `hidden beast` number, since 41 + 470 + 6 + 69 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4147066981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 192639 + ... + 213081.

It is an arithmetic number, because the mean of its divisors is an integer number (70695352).

Almost surely, 24147066980 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 4147066980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635098016).

4147066980 is an abundant number, since it is smaller than the sum of its proper divisors (11123129052).

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

4147066980 is a wasteful number, since it uses less digits than its factorization.

4147066980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20495 (or 20483 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4147066980 is about 64397.7249598152. The cubic root of 4147066980 is about 1606.6219025500.

The spelling of 4147066980 in words is "four billion, one hundred forty-seven million, sixty-six thousand, nine hundred eighty".