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2064201468 = 2237137181991
BaseRepresentation
bin111101100001001…
…0011011011111100
312022212011022002020
41323002103123330
513211413421333
6540455000140
7102103265040
oct17302233374
95285138066
102064201468
1196a20812a
12497369050
1326b8657b4
1415820c020
15c13453b3
hex7b0936fc

2064201468 has 96 divisors (see below), whose sum is σ = 5580976128. Its totient is φ = 581644800.

The previous prime is 2064201463. The next prime is 2064201533. The reversal of 2064201468 is 8641024602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064201463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082453 + ... + 2083443.

It is an arithmetic number, because the mean of its divisors is an integer number (58135168).

Almost surely, 22064201468 is an apocalyptic number.

2064201468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064201468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790488064).

2064201468 is an abundant number, since it is smaller than the sum of its proper divisors (3516774660).

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

2064201468 is a wasteful number, since it uses less digits than its factorization.

2064201468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2064201468 is about 45433.4839958373. The cubic root of 2064201468 is about 1273.2607772466.

The spelling of 2064201468 in words is "two billion, sixty-four million, two hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 181 274 362 411 543 548 724 822 959 991 1086 1267 1644 1918 1982 2172 2534 2877 2973 3801 3836 3964 5068 5754 5946 6937 7602 11508 11892 13874 15204 20811 24797 27748 41622 49594 74391 83244 99188 135767 148782 173579 179371 271534 297564 347158 358742 407301 520737 538113 543068 694316 717484 814602 950369 1041474 1076226 1255597 1629204 1900738 2082948 2152452 2511194 2851107 3766791 3801476 5022388 5702214 7533582 11404428 15067164 24573827 49147654 73721481 98295308 147442962 172016789 294885924 344033578 516050367 688067156 1032100734 2064201468