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2543764656 = 24352995097
BaseRepresentation
bin1001011110011110…
…1100010010110000
320120021112122002210
42113213230102300
520202200432111
61100225412120
7120015433326
oct22747542260
96507478083
102543764656
111095986044
125aba9a040
133170136b4
141a1ba3d16
15ed4c30a6
hex979ec4b0

2543764656 has 20 divisors (see below), whose sum is σ = 6571392152. Its totient is φ = 847921536.

The previous prime is 2543764651. The next prime is 2543764693. The reversal of 2543764656 is 6564673452.

2543764656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×25437646565 (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 52995097 = 2543764656 / (2 + 5 + 4 + 3 + 7 + 6 + 4 + 6 + 5 + 6).

It is not an unprimeable number, because it can be changed into a prime (2543764651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26497501 + ... + 26497596.

Almost surely, 22543764656 is an apocalyptic number.

It is an amenable number.

2543764656 is an abundant number, since it is smaller than the sum of its proper divisors (4027627496).

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

2543764656 is a wasteful number, since it uses less digits than its factorization.

2543764656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52995108 (or 52995102 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 48.

The square root of 2543764656 is about 50435.7477985605. The cubic root of 2543764656 is about 1365.0827423712.

The spelling of 2543764656 in words is "two billion, five hundred forty-three million, seven hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 52995097 105990194 158985291 211980388 317970582 423960776 635941164 847921552 1271882328 2543764656