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68353671074976 = 25327145323334887
BaseRepresentation
bin11111000101010110101000…
…10010001001010010100000
322222000112202212022001100100
433202223110102021102200
532424401304243344401
6401213124253022400
720253250455456510
oct1742532422112240
9288015685261310
1068353671074976
111a8636a1388651
1277bb496184a00
132c1a953777c81
1412c449a219840
157d8080ebcb86
hex3e2ad44894a0

68353671074976 has 144 divisors (see below), whose sum is σ = 222302330699904. Its totient is φ = 19516178575872.

The previous prime is 68353671074881. The next prime is 68353671075007. The reversal of 68353671074976 is 67947017635386.

68353671074976 is a `hidden beast` number, since 6 + 8 + 3 + 536 + 7 + 10 + 7 + 4 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 8738196 + ... + 14596691.

It is an arithmetic number, because the mean of its divisors is an integer number (1543766185416).

Almost surely, 268353671074976 is an apocalyptic number.

It is an amenable number.

68353671074976 is an abundant number, since it is smaller than the sum of its proper divisors (153948659624928).

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

68353671074976 is a wasteful number, since it uses less digits than its factorization.

68353671074976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23336363 (or 23336352 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 68353671074976 in words is "sixty-eight trillion, three hundred fifty-three billion, six hundred seventy-one million, seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1453 2016 2906 4359 5812 8718 10171 11624 13077 17436 20342 23248 26154 30513 34872 40684 46496 52308 61026 69744 81368 91539 104616 122052 139488 162736 183078 209232 244104 325472 366156 418464 488208 732312 976416 1464624 2929248 23334887 46669774 70004661 93339548 140009322 163344209 186679096 210013983 280018644 326688418 373358192 420027966 490032627 560037288 653376836 746716384 840055932 980065254 1120074576 1306753672 1470097881 1680111864 1960130508 2240149152 2613507344 2940195762 3360223728 3920261016 5227014688 5880391524 6720447456 7840522032 11760783048 15681044064 23521566096 33905590811 47043132192 67811181622 101716772433 135622363244 203433544866 237339135677 271244726488 305150317299 406867089732 474678271354 542489452976 610300634598 712017407031 813734179464 949356542708 1084978905952 1220601269196 1424034814062 1627468358928 1898713085416 2136052221093 2441202538392 2848069628124 3254936717856 3797426170832 4272104442186 4882405076784 5696139256248 7594852341664 8544208884372 9764810153568 11392278512496 17088417768744 22784557024992 34176835537488 68353671074976