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2064275136 = 2632721161109
BaseRepresentation
bin111101100001010…
…0101011011000000
312022212022001010200
41323002211123000
513211423301021
6540500325200
7102104022600
oct17302453300
95285261120
102064275136
1196a258510
124973a3800
1326b8901a1
1415822ac00
15c135c126
hex7b0a56c0

2064275136 has 504 divisors, whose sum is σ = 7701716880. Its totient is φ = 522547200.

The previous prime is 2064275131. The next prime is 2064275179. The reversal of 2064275136 is 6315724602.

2064275136 is a `hidden beast` number, since 2 + 0 + 642 + 7 + 5 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×20642751362 = 8522463674215636992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2064275136.

It is not an unprimeable number, because it can be changed into a prime (2064275131) 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, 18938250 + ... + 18938358.

Almost surely, 22064275136 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 2064275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850858440).

2064275136 is an abundant number, since it is smaller than the sum of its proper divisors (5637441744).

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

2064275136 is a wasteful number, since it uses less digits than its factorization.

2064275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2064275136 is about 45434.2947122545. The cubic root of 2064275136 is about 1273.2759239366.

Adding to 2064275136 its reverse (6315724602), we get a palindrome (8379999738).

The spelling of 2064275136 in words is "two billion, sixty-four million, two hundred seventy-five thousand, one hundred thirty-six".