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1694009231694 = 2321341812321737
BaseRepresentation
bin11000101001101010110…
…100011000100101001110
312222221112102020021001100
4120221222310120211032
5210223312330403234
63334114520523530
7233250061613523
oct30515264304516
95887472207040
101694009231694
115a34750596aa
122343883205a6
13c398a54c960
145bdc1c6314a
152e0e990b399
hex18a6ad1894e

1694009231694 has 96 divisors (see below), whose sum is σ = 4049780009184. Its totient is φ = 508434600960.

The previous prime is 1694009231683. The next prime is 1694009231729. The reversal of 1694009231694 is 4961329004961.

It is a happy number.

1694009231694 is a `hidden beast` number, since 1 + 69 + 400 + 92 + 3 + 1 + 6 + 94 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1694009231694.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 77921194 + ... + 77942930.

It is an arithmetic number, because the mean of its divisors is an integer number (42185208429).

Almost surely, 21694009231694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1694009231694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024890004592).

1694009231694 is an abundant number, since it is smaller than the sum of its proper divisors (2355770777490).

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

1694009231694 is a wasteful number, since it uses less digits than its factorization.

1694009231694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29922 (or 29919 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

It can be divided in two parts, 1694009 and 231694, that added together give a triangular number (1925703 = T1962).

The spelling of 1694009231694 in words is "one trillion, six hundred ninety-four billion, nine million, two hundred thirty-one thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 8123 9594 16246 21737 24369 43474 48738 65211 73107 105599 130422 146214 195633 211198 282581 316797 333043 391266 565162 633594 666086 847743 891217 950391 999129 1695486 1782434 1900782 1998258 2543229 2673651 2997387 4329559 5086458 5347302 5994774 8020953 8659118 11585821 12988677 16041906 23171642 25977354 34757463 38966031 69514926 77932062 104272389 176569651 208544778 353139302 529708953 1059417906 1589126859 2295405463 3178253718 4590810926 6886216389 7239355691 13772432778 14478711382 20658649167 21718067073 41317298334 43436134146 65154201219 94111623983 130308402438 188223247966 282334871949 564669743898 847004615847 1694009231694