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1296304048992 = 253127331321221
BaseRepresentation
bin10010110111010001101…
…111100000101101100000
311120220222122202200120210
4102313101233200231200
5132214312314031432
62431302554334120
7162440423420121
oct22672157405540
94526878680523
101296304048992
1145a839928527
1218b29572a340
1395319490794
1446a54780048
1523abe70d8cc
hex12dd1be0b60

1296304048992 has 96 divisors (see below), whose sum is σ = 3439963828224. Its totient is φ = 427402483200.

The previous prime is 1296304048987. The next prime is 1296304049021. The reversal of 1296304048992 is 2998404036921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3874942 + ... + 4196162.

It is an arithmetic number, because the mean of its divisors is an integer number (35832956544).

Almost surely, 21296304048992 is an apocalyptic number.

1296304048992 is a gapful number since it is divisible by the number (12) 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 1296304048992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719981914112).

1296304048992 is an abundant number, since it is smaller than the sum of its proper divisors (2143659779232).

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

1296304048992 is a wasteful number, since it uses less digits than its factorization.

1296304048992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321692 (or 321684 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 1296304048992 in words is "one trillion, two hundred ninety-six billion, three hundred four million, forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 331 381 508 662 762 993 1016 1324 1524 1986 2032 2648 3048 3972 4064 5296 6096 7944 10592 12192 15888 31776 42037 84074 126111 168148 252222 321221 336296 504444 642442 672592 963663 1008888 1284884 1345184 1927326 2017776 2569768 3854652 4035552 5139536 7709304 10279072 15418608 30837216 40795067 81590134 106324151 122385201 163180268 212648302 244770402 318972453 326360536 425296604 489540804 637944906 652721072 850593208 979081608 1275889812 1305442144 1701186416 1958163216 2551779624 3402372832 3916326432 5103559248 10207118496 13503167177 27006334354 40509501531 54012668708 81019003062 108025337416 162038006124 216050674832 324076012248 432101349664 648152024496 1296304048992