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68297530549824 = 26341147812
BaseRepresentation
bin11111000011101110000100…
…00011000010011001000000
322221211011212022222212210000
433201313002003002121000
532422441320310043244
6401131241414440000
720246222322050202
oct1741670203023100
9287734768885700
1068297530549824
111a841902534124
1277b0628963000
132c155777aa114
1412c189217a772
157d68974d3169
hex3e1dc20c2640

68297530549824 has 105 divisors (see below), whose sum is σ = 202457040081681. Its totient is φ = 22765645175040.

The previous prime is 68297530549811. The next prime is 68297530549891. The reversal of 68297530549824 is 42894503579286.

The square root of 68297530549824 is 8264232.

It is a perfect power (a square), and thus also a powerful number.

68297530549824 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 7 + 53 + 0 + 549 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143920079424 + 68153610470400 = 379368^2 + 8255520^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 594967314 + ... + 595082094.

Almost surely, 268297530549824 is an apocalyptic number.

68297530549824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68297530549824 is the 8264232-nd square number.

It is an amenable number.

68297530549824 is an abundant number, since it is smaller than the sum of its proper divisors (134159509531857).

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

68297530549824 is an frugal number, since it uses more digits than its factorization.

68297530549824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229586 (or 114786 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 68297530549824 in words is "sixty-eight trillion, two hundred ninety-seven billion, five hundred thirty million, five hundred forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 114781 229562 344343 459124 688686 918248 1033029 1377372 1836496 2066058 2754744 3099087 3672992 4132116 5509488 6198174 7345984 8264232 9297261 11018976 12396348 16528464 18594522 22037952 24792696 33056928 37189044 49585392 66113856 74378088 99170784 148756176 198341568 297512352 595024704 13174677961 26349355922 39524033883 52698711844 79048067766 105397423688 118572101649 158096135532 210794847376 237144203298 316192271064 355716304947 421589694752 474288406596 632384542128 711432609894 843179389504 948576813192 1067148914841 1264769084256 1422865219788 1897153626384 2134297829682 2529538168512 2845730439576 3794307252768 4268595659364 5691460879152 7588614505536 8537191318728 11382921758304 17074382637456 22765843516608 34148765274912 68297530549824