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1285440290688 = 2737927422291
BaseRepresentation
bin10010101101001010001…
…101100011111110000000
311112212221112200120211010
4102231022031203332000
5132030040203300223
62422304554320520
7161604260122311
oct22551215437600
94485845616733
101285440290688
11456174595084
12189163429140
13942a7858928
1446303a16608
1523685ad2393
hex12b4a363f80

1285440290688 has 64 divisors (see below), whose sum is σ = 3414889595520. Its totient is φ = 428425029120.

The previous prime is 1285440290671. The next prime is 1285440290731. The reversal of 1285440290688 is 8860920445821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2832823 + ... + 3255113.

It is an arithmetic number, because the mean of its divisors is an integer number (53357649930).

Almost surely, 21285440290688 is an apocalyptic number.

It is an amenable number.

1285440290688 is an abundant number, since it is smaller than the sum of its proper divisors (2129449304832).

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

1285440290688 is an equidigital number, since it uses as much as digits as its factorization.

1285440290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430235 (or 430223 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 1285440290688 in words is "one trillion, two hundred eighty-five billion, four hundred forty million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 7927 15854 23781 31708 47562 63416 95124 126832 190248 253664 380496 422291 507328 760992 844582 1014656 1266873 1521984 1689164 2533746 3043968 3378328 5067492 6756656 10134984 13513312 20269968 27026624 40539936 54053248 81079872 162159744 3347500757 6695001514 10042502271 13390003028 20085004542 26780006056 40170009084 53560012112 80340018168 107120024224 160680036336 214240048448 321360072672 428480096896 642720145344 1285440290688