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673646800821012 = 2232172232815166411
BaseRepresentation
bin1001100100101011011001111…
…0010001000101101100010100
310021100012000010210122022112100
42121022312132101011230110
51201244012122002233022
610344421022405522100
7261615242466400524
oct23112663621055424
93240160123568470
10673646800821012
11185710005144907
126367931a713330
1322bb680b9cb805
14bc4c97174b684
1552d3174d301ac
hex264ad9e445b14

673646800821012 has 108 divisors (see below), whose sum is σ = 1887535297249056. Its totient is φ = 202151469569280.

The previous prime is 673646800821011. The next prime is 673646800821013. The reversal of 673646800821012 is 210128008646376.

It is a happy number.

673646800821012 is a `hidden beast` number, since 6 + 7 + 364 + 68 + 0 + 0 + 8 + 210 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (673646800821011) and next prime (673646800821013).

It is a self number, because there is not a number n which added to its sum of digits gives 673646800821012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673646800821011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1407343914 + ... + 1407822497.

It is an arithmetic number, because the mean of its divisors is an integer number (17477178678232).

Almost surely, 2673646800821012 is an apocalyptic number.

It is an amenable number.

673646800821012 is an abundant number, since it is smaller than the sum of its proper divisors (1213888496428044).

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

673646800821012 is a wasteful number, since it uses less digits than its factorization.

673646800821012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815166478 (or 2815166456 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 673646800821012 in words is "six hundred seventy-three trillion, six hundred forty-six billion, eight hundred million, eight hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 289 306 391 414 578 612 782 828 867 1156 1173 1564 1734 2346 2601 3468 3519 4692 5202 6647 7038 10404 13294 14076 19941 26588 39882 59823 79764 119646 239292 2815166411 5630332822 8445499233 11260665644 16890998466 25336497699 33781996932 47857828987 50672995398 64748827453 95715657974 101345990796 129497654906 143573486961 191431315948 194246482359 258995309812 287146973922 388492964718 430720460883 574293947844 582739447077 776985929436 813583092779 861440921766 1100730066701 1165478894154 1627166185558 1722881843532 2201460133402 2330957788308 2440749278337 3254332371116 3302190200103 4402920266804 4881498556674 6604380400206 7322247835011 9762997113348 9906570600309 13208760800412 14644495670022 18712411133917 19813141200618 29288991340044 37424822267834 39626282401236 56137233401751 74849644535668 112274466803502 168411700205253 224548933607004 336823400410506 673646800821012