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2334655649764 = 22337222672
BaseRepresentation
bin100001111110010100010…
…100100001011111100100
322021012011011111021221001
4201332110110201133210
5301222333321243024
64544305341003044
7330446641410244
oct41762424413744
98235134437831
102334655649764
11820138282749
1231857b553484
1313c20715b1c9
1480dd84a1b24
1540ae2d9c244
hex21f945217e4

2334655649764 has 27 divisors (see below), whose sum is σ = 4099615332393. Its totient is φ = 1163350550208.

The previous prime is 2334655649741. The next prime is 2334655649789. The reversal of 2334655649764 is 4679465564332.

The square root of 2334655649764 is 1527958.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 629562902500 + 1705092747264 = 793450^2 + 1305792^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2334655649696 and 2334655649705.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1029842559 + ... + 1029844825.

Almost surely, 22334655649764 is an apocalyptic number.

2334655649764 is the 1527958-th square number.

It is an amenable number.

2334655649764 is a deficient number, since it is larger than the sum of its proper divisors (1764959682629).

2334655649764 is an frugal number, since it uses more digits than its factorization.

2334655649764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 2606 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 64.

Multiplying 2334655649764 by its sum of digits (64), we get a square (149417961584896 = 122236642).

The spelling of 2334655649764 in words is "two trillion, three hundred thirty-four billion, six hundred fifty-five million, six hundred forty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 337 674 1348 2267 4534 9068 113569 227138 454276 763979 1527958 3055916 5139289 10278578 20557156 257460923 514921846 1029843692 1731940393 3463880786 6927761572 583663912441 1167327824882 2334655649764