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2130516664 = 2319313791193
BaseRepresentation
bin111111011111101…
…0001101010111000
312111110221110102121
41332333101222320
513330403013124
6551224211024
7103540043563
oct17677215270
95443843377
102130516664
119a3691781
124b5609a74
1327c514063
14162d514da
15c70942e4
hex7efd1ab8

2130516664 has 64 divisors (see below), whose sum is σ = 4355712000. Its totient is φ = 973244160.

The previous prime is 2130516659. The next prime is 2130516673. The reversal of 2130516664 is 4666150312.

It is a super-3 number, since 3×21305166643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1785252 + ... + 1786444.

It is an arithmetic number, because the mean of its divisors is an integer number (68058000).

Almost surely, 22130516664 is an apocalyptic number.

It is an amenable number.

2130516664 is an abundant number, since it is smaller than the sum of its proper divisors (2225195336).

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

2130516664 is a wasteful number, since it uses less digits than its factorization.

2130516664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2130516664 is about 46157.5201240275. The cubic root of 2130516664 is about 1286.7523748765.

Adding to 2130516664 its reverse (4666150312), we get a palindrome (6796666976).

The spelling of 2130516664 in words is "two billion, one hundred thirty million, five hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 19 31 38 62 76 124 152 248 379 589 758 1178 1193 1516 2356 2386 3032 4712 4772 7201 9544 11749 14402 22667 23498 28804 36983 45334 46996 57608 73966 90668 93992 147932 181336 223231 295864 446462 452147 702677 892924 904294 1405354 1785848 1808588 2810708 3617176 5621416 8590793 14016557 17181586 28033114 34363172 56066228 68726344 112132456 266314583 532629166 1065258332 2130516664