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1290864650816 = 26131679290539
BaseRepresentation
bin10010110010001101100…
…001110110101001000000
311120101221120120122001002
4102302031201312221000
5132122142322311231
62425003125231132
7162155554330316
oct22621541665100
94511846518032
101290864650816
114584a8496134
1218a217b624a8
13949605a7990
144669a1c00b6
15238a1e100cb
hex12c8d876a40

1290864650816 has 56 divisors (see below), whose sum is σ = 2775121460160. Its totient is φ = 592216054272.

The previous prime is 1290864650791. The next prime is 1290864650951. The reversal of 1290864650816 is 6180564680921.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4506326 + ... + 4784213.

It is an arithmetic number, because the mean of its divisors is an integer number (49555740360).

Almost surely, 21290864650816 is an apocalyptic number.

1290864650816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1290864650816 is an abundant number, since it is smaller than the sum of its proper divisors (1484256809344).

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

1290864650816 is a wasteful number, since it uses less digits than its factorization.

1290864650816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290731 (or 9290721 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 56.

The spelling of 1290864650816 in words is "one trillion, two hundred ninety billion, eight hundred sixty-four million, six hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 167 208 334 416 668 832 1336 2171 2672 4342 5344 8684 10688 17368 34736 69472 138944 9290539 18581078 37162156 74324312 120777007 148648624 241554014 297297248 483108028 594594496 966216056 1551520013 1932432112 3103040026 3864864224 6206080052 7729728448 12412160104 20169760169 24824320208 40339520338 49648640416 80679040676 99297280832 161358081352 322716162704 645432325408 1290864650816