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2030012064 = 25332981019
BaseRepresentation
bin111100011111111…
…1000011010100000
312020110211022001000
41320333320122200
513124140341224
6533234112000
7101206550343
oct17077703240
95213738030
102030012064
11951986123
12487a1b600
13264754992
1415386c45a
15bd3400c9
hex78ff86a0

2030012064 has 96 divisors (see below), whose sum is σ = 6125112000. Its totient is φ = 653329152.

The previous prime is 2030012063. The next prime is 2030012099. The reversal of 2030012064 is 4602100302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2030012063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15454 + ... + 65565.

It is an arithmetic number, because the mean of its divisors is an integer number (63803250).

Almost surely, 22030012064 is an apocalyptic number.

2030012064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2030012064 is an abundant number, since it is smaller than the sum of its proper divisors (4095099936).

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

2030012064 is a wasteful number, since it uses less digits than its factorization.

2030012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81067 (or 81053 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2030012064 is about 45055.6551833396. The cubic root of 2030012064 is about 1266.1919252613.

Adding to 2030012064 its reverse (4602100302), we get a palindrome (6632112366).

The spelling of 2030012064 in words is "two billion, thirty million, twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 81019 162038 243057 324076 486114 648152 729171 972228 1296304 1458342 1944456 2187513 2349551 2592608 2916684 3888912 4375026 4699102 5833368 7048653 7777824 8750052 9398204 11666736 14097306 17500104 18796408 21145959 23333472 28194612 35000208 37592816 42291918 56389224 63437877 70000416 75185632 84583836 112778448 126875754 169167672 225556896 253751508 338335344 507503016 676670688 1015006032 2030012064