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10516320064 = 267113671693
BaseRepresentation
bin10011100101101001…
…00100111101000000
31000010220022102002201
421302310210331000
5133014134220224
64455305122544
7521414150155
oct116264447500
930126272081
1010516320064
114507208a08
122055a89454
13cb79679c3
1471a96622c
1541839ba44
hex272d24f40

10516320064 has 56 divisors (see below), whose sum is σ = 21190232448. Its totient is φ = 5177249280.

The previous prime is 10516320019. The next prime is 10516320149. The reversal of 10516320064 is 46002361501.

It is a super-2 number, since 2×105163200642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6210802 + ... + 6212494.

It is an arithmetic number, because the mean of its divisors is an integer number (378397008).

Almost surely, 210516320064 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 10516320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10595116224).

10516320064 is an abundant number, since it is smaller than the sum of its proper divisors (10673912384).

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

10516320064 is a wasteful number, since it uses less digits than its factorization.

10516320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 10516320064 its reverse (46002361501), we get a palindrome (56518681565).

The spelling of 10516320064 in words is "ten billion, five hundred sixteen million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1136 1367 1693 2272 2734 3386 4544 5468 6772 10936 13544 21872 27088 43744 54176 87488 97057 108352 120203 194114 240406 388228 480812 776456 961624 1552912 1923248 2314331 3105824 3846496 4628662 6211648 7692992 9257324 18514648 37029296 74058592 148117184 164317501 328635002 657270004 1314540008 2629080016 5258160032 10516320064