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1728314326992 = 243115237278609
BaseRepresentation
bin11001001001100111100…
…011111011111111010000
320010020002012022122221110
4121021213203323333100
5211304041431430432
63401550542053320
7235603145246601
oct31114743737720
96106065278843
101728314326992
11606a79420530
1223ab60b7a240
13c6c967c9506
145d917d5dda8
152ee56473dcc
hex192678fbfd0

1728314326992 has 160 divisors (see below), whose sum is σ = 4887297192960. Its totient is φ = 521950556160.

The previous prime is 1728314326967. The next prime is 1728314327017. The reversal of 1728314326992 is 2996234138271.

It is an interprime number because it is at equal distance from previous prime (1728314326967) and next prime (1728314327017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200752384 + ... + 200760992.

It is an arithmetic number, because the mean of its divisors is an integer number (30545607456).

Almost surely, 21728314326992 is an apocalyptic number.

1728314326992 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 1728314326992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443648596480).

1728314326992 is an abundant number, since it is smaller than the sum of its proper divisors (3158982865968).

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

1728314326992 is a wasteful number, since it uses less digits than its factorization.

1728314326992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881 (or 9875 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 1728314326992 in words is "one trillion, seven hundred twenty-eight billion, three hundred fourteen million, three hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 523 528 727 1046 1454 1569 2092 2181 2908 3138 4184 4362 5753 5816 6276 7997 8368 8609 8724 11506 11632 12552 15994 17218 17259 17448 23012 23991 25104 25827 31988 34436 34518 34896 46024 47982 51654 63976 68872 69036 92048 94699 95964 103308 127952 137744 138072 189398 191928 206616 276144 284097 378796 380221 383856 413232 568194 757592 760442 1136388 1140663 1515184 1520884 2272776 2281326 3041768 4182431 4502507 4545552 4562652 6083536 6258743 8364862 9005014 9125304 12517486 12547293 13507521 16729724 18010028 18250608 18776229 25034972 25094586 27015042 33459448 36020056 37552458 49527577 50069944 50189172 54030084 66918896 68846173 72040112 75104916 99055154 100139888 100378344 108060168 137692346 148582731 150209832 198110308 200756688 206538519 216120336 275384692 297165462 300419664 396220616 413077038 550769384 594330924 792441232 826154076 1101538768 1188661848 1652308152 2377323696 3273322589 3304616304 6546645178 9819967767 13093290356 19639935534 26186580712 36006548479 39279871068 52373161424 72013096958 78559742136 108019645437 144026193916 157119484272 216039290874 288052387832 432078581748 576104775664 864157163496 1728314326992