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4820206064 = 241940139541
BaseRepresentation
bin1000111110100111…
…01000000111110000
3110102221001211122112
410133103220013300
534332433043224
62114145424452
7230310034622
oct43723500760
913387054575
104820206064
112053976183
12b2633b128
135ba82a74b
1433a25cc12
151d328e30e
hex11f4e81f0

4820206064 has 40 divisors (see below), whose sum is σ = 9855448080. Its totient is φ = 2277504000.

The previous prime is 4820206037. The next prime is 4820206067. The reversal of 4820206064 is 4606020284.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4820206064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820206067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102134 + ... + 141674.

It is an arithmetic number, because the mean of its divisors is an integer number (246386202).

Almost surely, 24820206064 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 4820206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927724040).

4820206064 is an abundant number, since it is smaller than the sum of its proper divisors (5035242016).

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

4820206064 is a wasteful number, since it uses less digits than its factorization.

4820206064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39969 (or 39963 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4820206064 is about 69427.7038652439. The cubic root of 4820206064 is about 1689.2290245246.

The spelling of 4820206064 in words is "four billion, eight hundred twenty million, two hundred six thousand, sixty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 401 802 1604 3208 6416 7619 15238 30476 39541 60952 79082 121904 158164 316328 632656 751279 1502558 3005116 6010232 12020464 15855941 31711882 63423764 126847528 253695056 301262879 602525758 1205051516 2410103032 4820206064