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2066352552 = 2333115361269
BaseRepresentation
bin111101100101010…
…0000100110101000
312100000012120211000
41323022200212220
513212441240202
6541013035000
7102130464315
oct17312404650
95300176730
102066352552
11970447290
12498025a60
1326c139924
1415860bd0c
15c161c91c
hex7b2a09a8

2066352552 has 256 divisors, whose sum is σ = 6508512000. Its totient is φ = 602035200.

The previous prime is 2066352521. The next prime is 2066352553. The reversal of 2066352552 is 2552536602.

2066352552 is a `hidden beast` number, since 20 + 6 + 63 + 525 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2066352553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7681474 + ... + 7681742.

It is an arithmetic number, because the mean of its divisors is an integer number (25423875).

Almost surely, 22066352552 is an apocalyptic number.

2066352552 is a gapful number since it is divisible by the number (22) 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 2066352552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254256000).

2066352552 is an abundant number, since it is smaller than the sum of its proper divisors (4442159448).

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

2066352552 is a wasteful number, since it uses less digits than its factorization.

2066352552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 2066352552 is about 45457.1507246110. The cubic root of 2066352552 is about 1273.7029078700.

The spelling of 2066352552 in words is "two billion, sixty-six million, three hundred fifty-two thousand, five hundred fifty-two".