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11292640328 = 23375712
BaseRepresentation
bin10101000010001100…
…00000010001001000
31002011000002120022002
422201012000101020
5141111403442303
65104320250132
7546561600434
oct124106002110
932130076262
1011292640328
114875445902
122231a70948
1310ac7495c8
14791ac99c4
154615e7788
hex2a1180448

11292640328 has 12 divisors (see below), whose sum is σ = 21174264195. Its totient is φ = 5646169880.

The previous prime is 11292640327. The next prime is 11292640379. The reversal of 11292640328 is 82304629211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5646320164 + 5646320164 = 75142^2 + 75142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=75142.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11292640291 and 11292640300.

It is not an unprimeable number, because it can be changed into a prime (11292640327) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 281783 + ... + 319353.

Almost surely, 211292640328 is an apocalyptic number.

It is an amenable number.

11292640328 is a deficient number, since it is larger than the sum of its proper divisors (9881623867).

11292640328 is an frugal number, since it uses more digits than its factorization.

11292640328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75148 (or 37573 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

Multiplying 11292640328 by its product of nonzero digits (41472), we get a square (468328379682816 = 216408962).

The spelling of 11292640328 in words is "eleven billion, two hundred ninety-two million, six hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 37571 75142 150284 300568 1411580041 2823160082 5646320164 11292640328