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1682830324640 = 25510517689529
BaseRepresentation
bin11000011111010000100…
…000001111001110100000
312221212200100010221110202
4120133100200033032200
5210032414030342030
63325025342044332
7232403050514003
oct30372040171640
95855610127422
101682830324640
11599758935343
122321885796a8
13c28c8544a5a
145b64130153a
152db932cc745
hex187d080f3a0

1682830324640 has 24 divisors (see below), whose sum is σ = 3975686642340. Its totient is φ = 673132129792.

The previous prime is 1682830324633. The next prime is 1682830324663. The reversal of 1682830324640 is 464230382861.

It can be written as a sum of positive squares in 2 ways, for example, as 1676683137424 + 6147187216 = 1294868^2 + 78404^2 .

It is a super-2 number, since 2×16828303246402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5258844605 + ... + 5258844924.

Almost surely, 21682830324640 is an apocalyptic number.

1682830324640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682830324640 is an abundant number, since it is smaller than the sum of its proper divisors (2292856317700).

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

1682830324640 is a wasteful number, since it uses less digits than its factorization.

1682830324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517689544 (or 10517689536 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 1682830324640 in words is "one trillion, six hundred eighty-two billion, eight hundred thirty million, three hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10517689529 21035379058 42070758116 52588447645 84141516232 105176895290 168283032464 210353790580 336566064928 420707581160 841415162320 1682830324640