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2130564064 = 251033731733
BaseRepresentation
bin111111011111101…
…1101001111100000
312111111000212110011
41332333131033200
513330411022224
6551225214304
7103540332016
oct17677351740
95444025404
102130564064
119a3714352
124b5631394
1327c52c7c5
14162d648b6
15c70a3394
hex7efdd3e0

2130564064 has 48 divisors (see below), whose sum is σ = 4249076832. Its totient is φ = 1051504128.

The previous prime is 2130564041. The next prime is 2130564067. The reversal of 2130564064 is 4604650312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130564067) 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, 1228542 + ... + 1230274.

It is an arithmetic number, because the mean of its divisors is an integer number (88522434).

Almost surely, 22130564064 is an apocalyptic number.

It is an amenable number.

2130564064 is a deficient number, since it is larger than the sum of its proper divisors (2118512768).

2130564064 is a wasteful number, since it uses less digits than its factorization.

2130564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2130564064 is about 46158.0335802989. The cubic root of 2130564064 is about 1286.7619174148.

The spelling of 2130564064 in words is "two billion, one hundred thirty million, five hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 103 206 373 412 746 824 1492 1648 1733 2984 3296 3466 5968 6932 11936 13864 27728 38419 55456 76838 153676 178499 307352 356998 614704 646409 713996 1229408 1292818 1427992 2585636 2855984 5171272 5711968 10342544 20685088 66580127 133160254 266320508 532641016 1065282032 2130564064